Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424u |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1526784 = -1 · 210 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,-5589] |
[a1,a2,a3,a4,a6] |
Generators |
[275865:2385764:3375] |
Generators of the group modulo torsion |
j |
-21217755136/1491 |
j-invariant |
L |
9.0297745086978 |
L(r)(E,1)/r! |
Ω |
0.48614007261015 |
Real period |
R |
9.2872147538586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bu1 5964a1 |
Quadratic twists by: -4 8 |