Atkin-Lehner |
2+ 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274c |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1850112 |
Modular degree for the optimal curve |
Δ |
-10377920276038084 = -1 · 22 · 74 · 118 · 712 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 11- 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1355928,607174484] |
[a1,a2,a3,a4,a6] |
j |
-1286152950683689/48413764 |
j-invariant |
L |
3.0452491698651 |
L(r)(E,1)/r! |
Ω |
0.38065611387853 |
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 |
120274q1 |
Quadratic twists by: -11 |