Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bx |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-658939380150420720 = -1 · 24 · 312 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107741,-41404381] |
[a1,a2,a3,a4,a6] |
Generators |
[11694331:1089591748:1331] |
Generators of the group modulo torsion |
j |
-28655425171801/136516564080 |
j-invariant |
L |
9.0963986105894 |
L(r)(E,1)/r! |
Ω |
0.11923183277814 |
Real period |
R |
9.5364618790105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410d1 |
Quadratic twists by: 13 |