Atkin-Lehner |
2+ 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360a |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-920515600000000 = -1 · 210 · 58 · 372 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20664,-914464] |
[a1,a2,a3,a4,a6] |
j |
952896908261084/898941015625 |
j-invariant |
L |
1.0872214741444 |
L(r)(E,1)/r! |
Ω |
0.27180555462142 |
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 |
60680a2 |
Quadratic twists by: -4 |