Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534a |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-23534 = -1 · 2 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 2 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-16:27] |
Generators of the group modulo torsion |
j |
-201433/14 |
j-invariant |
L |
5.0029804587126 |
L(r)(E,1)/r! |
Ω |
1.2179666643652 |
Real period |
R |
4.1076497453402 |
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 |
23534o1 |
Quadratic twists by: 41 |