Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176t |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-754316516261888 = -1 · 234 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 5 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4191,1315873] |
[a1,a2,a3,a4,a6] |
j |
31047965207/2877489152 |
j-invariant |
L |
1.5490098790069 |
L(r)(E,1)/r! |
Ω |
0.38725237514153 |
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 |
122176bb1 3818b1 |
Quadratic twists by: -4 8 |