Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bc |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
123863040 |
Modular degree for the optimal curve |
Δ |
1.0770650185222E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7813969158,-265858972088688] |
[a1,a2,a3,a4,a6] |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
0.064231638499242 |
L(r)(E,1)/r! |
Ω |
0.016057637030044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600de1 23520br1 16800r1 |
Quadratic twists by: -4 5 -7 |