Atkin-Lehner |
3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23175o |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-59463888423046875 = -1 · 315 · 58 · 1032 |
Discriminant |
Eigenvalues |
0 3- 5- 1 2 -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63750,13267656] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:4068:1] |
Generators of the group modulo torsion |
j |
-100618240000/208816947 |
j-invariant |
L |
4.555872317251 |
L(r)(E,1)/r! |
Ω |
0.3124848595515 |
Real period |
R |
3.6448744459091 |
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 |
7725k1 23175l1 |
Quadratic twists by: -3 5 |