Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23529f |
Isogeny class |
Conductor |
23529 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-2576496087 = -1 · 33 · 11 · 234 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15,-2441] |
[a1,a2,a3,a4,a6] |
Generators |
[17305:195069:125] |
Generators of the group modulo torsion |
j |
410172407/2576496087 |
j-invariant |
L |
7.4873362654547 |
L(r)(E,1)/r! |
Ω |
0.66760551240103 |
Real period |
R |
7.4768069130393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70587g1 |
Quadratic twists by: -3 |