Atkin-Lehner |
2+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298f |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-170055570878622632 = -1 · 23 · 710 · 175 · 53 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 0 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190930,-37762196] |
[a1,a2,a3,a4,a6] |
Generators |
[1466186150034738905422786607759645636708:33041067121022340781959371301734620539125:1788940407781425815081002360929510208] |
Generators of the group modulo torsion |
j |
-2724975236137/602019368 |
j-invariant |
L |
7.0693967945255 |
L(r)(E,1)/r! |
Ω |
0.11286609857129 |
Real period |
R |
62.635254376761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298b1 |
Quadratic twists by: -7 |