Atkin-Lehner |
2- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024r |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3573821292544 = -1 · 214 · 312 · 613 |
Discriminant |
Eigenvalues |
2- -2 3 1 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3631,35599] |
[a1,a2,a3,a4,a6] |
j |
323044913072/218128741 |
j-invariant |
L |
1.9877656685817 |
L(r)(E,1)/r! |
Ω |
0.49694116878598 |
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 |
121024j1 30256g1 |
Quadratic twists by: -4 8 |