Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424f |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-20813119488 = -1 · 216 · 32 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,9889] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:128:1] [1:96:1] |
Generators of the group modulo torsion |
j |
-515150500/317583 |
j-invariant |
L |
9.1312115772904 |
L(r)(E,1)/r! |
Ω |
1.122129989497 |
Real period |
R |
2.0343479949342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424cj1 11928k1 |
Quadratic twists by: -4 8 |