Atkin-Lehner |
2- 7- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
129808l |
Isogeny class |
Conductor |
129808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-7443709952 = -1 · 217 · 72 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-432,-5548] |
[a1,a2,a3,a4,a6] |
Generators |
[678:224:27] |
Generators of the group modulo torsion |
j |
-2181825073/1817312 |
j-invariant |
L |
10.640221872561 |
L(r)(E,1)/r! |
Ω |
0.50565557883146 |
Real period |
R |
2.6303037044341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999391142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16226b1 |
Quadratic twists by: -4 |