Atkin-Lehner |
2+ 11- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728d |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2231040 |
Modular degree for the optimal curve |
Δ |
2710138112 = 28 · 11 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 2 0 4 11- 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11411553,-14833850851] |
[a1,a2,a3,a4,a6] |
Generators |
[3580046684398190603624786981129448898437222141025949601215297650713276870738423112040047502142425652:1965060369305430618123692025007972769799045787770792390793935537612826641814151855453925289902567406967:11881137201838762337199968312367170325688289645669246913837109739339959036226612448545835692487] |
Generators of the group modulo torsion |
j |
641974887421090539136000/10586477 |
j-invariant |
L |
12.898917478361 |
L(r)(E,1)/r! |
Ω |
0.082141638880223 |
Real period |
R |
157.03262869115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61864a1 |
Quadratic twists by: -4 |