Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200ea |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1771200000000 = -1 · 212 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1792,57588] |
[a1,a2,a3,a4,a6] |
Generators |
[58:600:1] |
Generators of the group modulo torsion |
j |
397535/1107 |
j-invariant |
L |
6.4219775357255 |
L(r)(E,1)/r! |
Ω |
0.58803019819169 |
Real period |
R |
0.30336582275738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075f1 49200bw1 |
Quadratic twists by: -4 5 |