Atkin-Lehner |
2- 3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658ci |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-42232932126 = -1 · 2 · 32 · 78 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-540,10779] |
[a1,a2,a3,a4,a6] |
j |
-148035889/358974 |
j-invariant |
L |
4.0476578963703 |
L(r)(E,1)/r! |
Ω |
1.0119146118087 |
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 |
17094bb1 |
Quadratic twists by: -7 |