Atkin-Lehner |
2- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bi |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
540960 |
Modular degree for the optimal curve |
Δ |
-23117824000000000 = -1 · 223 · 59 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- -1 5 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,69320,-2058053] |
[a1,a2,a3,a4,a6] |
Generators |
[269:5865:1] |
Generators of the group modulo torsion |
j |
18861455734659/11836325888 |
j-invariant |
L |
9.7441146454295 |
L(r)(E,1)/r! |
Ω |
0.21873845219305 |
Real period |
R |
0.96841034180572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550l1 |
Quadratic twists by: 5 |