Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775l |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205440 |
Modular degree for the optimal curve |
Δ |
133330078125 = 32 · 510 · 37 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 4 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5208,141869] |
[a1,a2,a3,a4,a6] |
Generators |
[26796:439957:1728] |
Generators of the group modulo torsion |
j |
1600000000/13653 |
j-invariant |
L |
18.612382224947 |
L(r)(E,1)/r! |
Ω |
1.0439018940497 |
Real period |
R |
8.914813865731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113775e1 |
Quadratic twists by: 5 |