Atkin-Lehner |
2+ 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61864a |
Isogeny class |
Conductor |
61864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1115520 |
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 |
[1950:1:1] |
Generators of the group modulo torsion |
j |
641974887421090539136000/10586477 |
j-invariant |
L |
2.0756965495465 |
L(r)(E,1)/r! |
Ω |
0.50519929785721 |
Real period |
R |
1.0271671785836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728d1 |
Quadratic twists by: -4 |