Atkin-Lehner |
2- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1562c |
Isogeny class |
Conductor |
1562 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
2128918528 = 211 · 114 · 71 |
Discriminant |
Eigenvalues |
2- -3 0 -1 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4305,109761] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-8:1] |
Generators of the group modulo torsion |
j |
8821625150390625/2128918528 |
j-invariant |
L |
2.5854445004552 |
L(r)(E,1)/r! |
Ω |
1.4293475466328 |
Real period |
R |
0.041109737391371 |
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 |
12496g1 49984d1 14058b1 39050g1 |
Quadratic twists by: -4 8 -3 5 |