Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624bd |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2209000882176 = -1 · 215 · 33 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6579,-217486] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-2928:1] [151:1494:1] |
Generators of the group modulo torsion |
j |
-284760442539/19974328 |
j-invariant |
L |
8.9095990845453 |
L(r)(E,1)/r! |
Ω |
0.2639841941081 |
Real period |
R |
1.4062709187888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078b1 96624w2 |
Quadratic twists by: -4 -3 |