Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925r |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
350285925 = 3 · 52 · 115 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2453,-47581] |
[a1,a2,a3,a4,a6] |
Generators |
[12693:273896:27] |
Generators of the group modulo torsion |
j |
65321083863040/14011437 |
j-invariant |
L |
5.7050233928075 |
L(r)(E,1)/r! |
Ω |
0.67836901803712 |
Real period |
R |
8.4099114805023 |
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 |
71775bd1 23925l1 |
Quadratic twists by: -3 5 |