Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bn |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
8914332568960080 = 24 · 38 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69312,-5356879] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:711:1] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
7.0877835463195 |
L(r)(E,1)/r! |
Ω |
0.29942100835841 |
Real period |
R |
3.9452717904196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660h1 3420b1 |
Quadratic twists by: -3 -19 |