Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780c |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
3736250000 = 24 · 57 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413,1337] |
[a1,a2,a3,a4,a6] |
Generators |
[2:281:8] |
Generators of the group modulo torsion |
j |
9937057536/4765625 |
j-invariant |
L |
5.5332381746503 |
L(r)(E,1)/r! |
Ω |
1.2463352675235 |
Real period |
R |
4.4396065158574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59780g1 |
Quadratic twists by: -7 |