Atkin-Lehner |
2- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840l |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-774963200 = -1 · 216 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-1420] |
[a1,a2,a3,a4,a6] |
Generators |
[52:370:1] |
Generators of the group modulo torsion |
j |
-24137569/189200 |
j-invariant |
L |
6.9853188234168 |
L(r)(E,1)/r! |
Ω |
0.6720600625644 |
Real period |
R |
2.5984726710147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730f1 |
Quadratic twists by: -4 |