Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23548b |
Isogeny class |
Conductor |
23548 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-10602739972584704 = -1 · 28 · 74 · 297 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -1 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30556,5353588] |
[a1,a2,a3,a4,a6] |
Generators |
[831:23548:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
5.6880263991365 |
L(r)(E,1)/r! |
Ω |
0.35563107054681 |
Real period |
R |
1.9992721637028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192q1 812b1 |
Quadratic twists by: -4 29 |