Atkin-Lehner |
2+ 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274d |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
11309632725450752 = 218 · 73 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82041,7451420] |
[a1,a2,a3,a4,a6] |
j |
34470916278625/6383992832 |
j-invariant |
L |
0.38360740135873 |
L(r)(E,1)/r! |
Ω |
0.383608068619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994g1 |
Quadratic twists by: -11 |