Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bc |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.5411788276733E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7787178408,-267772528198188] |
[a1,a2,a3,a4,a6] |
j |
-55486311952875723077768/801237030029296875 |
j-invariant |
L |
0.064231638499242 |
L(r)(E,1)/r! |
Ω |
0.0080288185150222 |
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 |
117600de2 23520br2 16800r4 |
Quadratic twists by: -4 5 -7 |