Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760j |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
-648477594192640 = -1 · 28 · 5 · 477 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -5 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21619,57905] |
[a1,a2,a3,a4,a6] |
Generators |
[1:282:1] |
Generators of the group modulo torsion |
j |
4364861448544256/2533115602315 |
j-invariant |
L |
4.3496223561332 |
L(r)(E,1)/r! |
Ω |
0.30789337442043 |
Real period |
R |
1.0090743645822 |
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 |
940a1 15040bl1 33840cg1 18800w1 |
Quadratic twists by: -4 8 -3 5 |