Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330i |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-62769109650 = -1 · 2 · 3 · 52 · 132 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1238,20142] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:1621:8] [-11:186:1] |
Generators of the group modulo torsion |
j |
-1243217046721/371414850 |
j-invariant |
L |
6.7644119832557 |
L(r)(E,1)/r! |
Ω |
1.0476192879408 |
Real period |
R |
0.64569372302908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330cl1 |
Quadratic twists by: 13 |