Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bs |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-14857220948266800 = -1 · 24 · 37 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60648,-1159171] |
[a1,a2,a3,a4,a6] |
Generators |
[323:7220:1] |
Generators of the group modulo torsion |
j |
44957696/27075 |
j-invariant |
L |
4.4437615212506 |
L(r)(E,1)/r! |
Ω |
0.22944450216731 |
Real period |
R |
2.4209348441081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660i1 3420f1 |
Quadratic twists by: -3 -19 |