Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37600r |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
606720 |
Modular degree for the optimal curve |
Δ |
830584000000000 = 212 · 59 · 473 |
Discriminant |
Eigenvalues |
2- -3 5- 3 3 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383500,-91400000] |
[a1,a2,a3,a4,a6] |
j |
779704121664/103823 |
j-invariant |
L |
2.3021993592292 |
L(r)(E,1)/r! |
Ω |
0.19184994660295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600p1 75200ee1 37600e1 |
Quadratic twists by: -4 8 5 |