Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016a |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
278592832 = 26 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,45276] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:294:1] [-21:294:1] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
8.5348803763315 |
L(r)(E,1)/r! |
Ω |
1.6845879534584 |
Real period |
R |
2.5332249226902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58016p1 116032i2 1184a1 |
Quadratic twists by: -4 8 -7 |