Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050g |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4313088 |
Modular degree for the optimal curve |
Δ |
-4.642188558336E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,67225,-3278044875] |
[a1,a2,a3,a4,a6] |
j |
2150235484224911/297100067733504000 |
j-invariant |
L |
0.25283808821319 |
L(r)(E,1)/r! |
Ω |
0.063209521796053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810s1 |
Quadratic twists by: 5 |