Atkin-Lehner |
2- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024s |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-908280298372857856 = -1 · 224 · 316 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 1 -3 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,190303,-32822561] |
[a1,a2,a3,a4,a6] |
j |
2907491221594583/3464814370624 |
j-invariant |
L |
1.2026234706005 |
L(r)(E,1)/r! |
Ω |
0.15032779093252 |
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 |
121024k2 30256f2 |
Quadratic twists by: -4 8 |