Atkin-Lehner |
2- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192v |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-112227469426688 = -1 · 216 · 73 · 115 · 31 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60824,5816560] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:2464:1] [218:1694:1] |
Generators of the group modulo torsion |
j |
-6075693217857817/27399284528 |
j-invariant |
L |
6.726438027739 |
L(r)(E,1)/r! |
Ω |
0.59557188396972 |
Real period |
R |
0.18823470932691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774a1 |
Quadratic twists by: -4 |