Atkin-Lehner |
5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
62315a |
Isogeny class |
Conductor |
62315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-303371814453125 = -1 · 59 · 114 · 1032 |
Discriminant |
Eigenvalues |
1 1 5+ 1 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10766,-718379] |
[a1,a2,a3,a4,a6] |
j |
9427012535831/20720703125 |
j-invariant |
L |
2.2651924990827 |
L(r)(E,1)/r! |
Ω |
0.28314906256267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62315b1 |
Quadratic twists by: -11 |