Atkin-Lehner |
5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365c |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
7464018839582125 = 53 · 17 · 378 |
Discriminant |
Eigenvalues |
2 0 5+ -1 -2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-50653,-1405621] |
[a1,a2,a3,a4,a6] |
Generators |
[2738:36959:8] [-294384:5589583:4096] |
Generators of the group modulo torsion |
j |
4091904/2125 |
j-invariant |
L |
19.693086174239 |
L(r)(E,1)/r! |
Ω |
0.33684331371656 |
Real period |
R |
19.487879946615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116365f1 |
Quadratic twists by: 37 |