Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424bn |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2661024969179136 = -1 · 214 · 33 · 75 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99345,12338289] |
[a1,a2,a3,a4,a6] |
Generators |
[211:852:1] |
Generators of the group modulo torsion |
j |
-6618295997667664/162416074779 |
j-invariant |
L |
4.43976555673 |
L(r)(E,1)/r! |
Ω |
0.45442861521116 |
Real period |
R |
1.6283325909362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424z1 23856h1 |
Quadratic twists by: -4 8 |