Atkin-Lehner |
2+ 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176f |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
117322173612288 = 28 · 315 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1121439,-457100098] |
[a1,a2,a3,a4,a6] |
j |
835763084682860752/628655337 |
j-invariant |
L |
2.6407547530518 |
L(r)(E,1)/r! |
Ω |
0.14670862961745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56088j1 37392a1 |
Quadratic twists by: -4 -3 |