Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937i |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174240 |
Modular degree for the optimal curve |
Δ |
-49534436854179 = -1 · 39 · 17 · 236 |
Discriminant |
Eigenvalues |
0 3- 3 4 -3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3174,-331551] |
[a1,a2,a3,a4,a6] |
Generators |
[11005:99176:125] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
7.7493158105087 |
L(r)(E,1)/r! |
Ω |
0.31061681508172 |
Real period |
R |
6.2370382361026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979p1 153b1 |
Quadratic twists by: -3 -23 |