Atkin-Lehner |
2+ 3+ 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758d |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
170470113214464 = 216 · 310 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2285584,1329024256] |
[a1,a2,a3,a4,a6] |
Generators |
[160:31024:1] [672:9520:1] |
Generators of the group modulo torsion |
j |
1320430570353521468061193/170470113214464 |
j-invariant |
L |
4.3445584891802 |
L(r)(E,1)/r! |
Ω |
0.44498091880614 |
Real period |
R |
1.2204339291771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274bo1 |
Quadratic twists by: -3 |