Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20956a |
Isogeny class |
Conductor |
20956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
12053511219018256 = 24 · 138 · 314 |
Discriminant |
Eigenvalues |
2- -1 2 1 -1 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66642,4015465] |
[a1,a2,a3,a4,a6] |
j |
2507884288/923521 |
j-invariant |
L |
2.2021781496183 |
L(r)(E,1)/r! |
Ω |
0.36702969160305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824z1 20956f1 |
Quadratic twists by: -4 13 |