Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cf |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-95908761994109232 = -1 · 24 · 3 · 76 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,89047,-10865124] |
[a1,a2,a3,a4,a6] |
Generators |
[32120:-672182:125] [129580:46645144:1] |
Generators of the group modulo torsion |
j |
103737344000/127413867 |
j-invariant |
L |
10.47614435256 |
L(r)(E,1)/r! |
Ω |
0.18093463928713 |
Real period |
R |
9.6500264724915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30324h1 6384bc1 |
Quadratic twists by: -4 -19 |