Atkin-Lehner |
2- 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272m |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1151490981888 = 217 · 38 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3968,-79872] |
[a1,a2,a3,a4,a6] |
Generators |
[74:162:1] |
Generators of the group modulo torsion |
j |
1687284042625/281125728 |
j-invariant |
L |
4.3765848495368 |
L(r)(E,1)/r! |
Ω |
0.60832668382213 |
Real period |
R |
1.7986161735885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034g1 |
Quadratic twists by: -4 |