Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580v |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-10670995157760 = -1 · 28 · 315 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4848,88436] |
[a1,a2,a3,a4,a6] |
Generators |
[-655:31347:125] |
Generators of the group modulo torsion |
j |
67521806336/57179115 |
j-invariant |
L |
7.513528349202 |
L(r)(E,1)/r! |
Ω |
0.46740720946659 |
Real period |
R |
4.0187272504699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34860b1 |
Quadratic twists by: -3 |