Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200h |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-3180479680000000 = -1 · 212 · 57 · 7 · 175 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195800,-33458000] |
[a1,a2,a3,a4,a6] |
Generators |
[585:7225:1] |
Generators of the group modulo torsion |
j |
-12971249127936/49694995 |
j-invariant |
L |
6.0018114546703 |
L(r)(E,1)/r! |
Ω |
0.1134532123496 |
Real period |
R |
1.3225300827947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200b1 19040m1 |
Quadratic twists by: -4 5 |