Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498p |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1108224 |
Modular degree for the optimal curve |
Δ |
-2732442066712040004 = -1 · 22 · 34 · 74 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,315526,-40750837] |
[a1,a2,a3,a4,a6] |
Generators |
[20052:593671:64] |
Generators of the group modulo torsion |
j |
989043263/777924 |
j-invariant |
L |
10.319304970219 |
L(r)(E,1)/r! |
Ω |
0.14207627216754 |
Real period |
R |
1.5131697709347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57498g1 |
Quadratic twists by: 37 |