Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25300k |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-84185750000 = -1 · 24 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258,14137] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:77:1] [-8:125:1] |
Generators of the group modulo torsion |
j |
-7626496/336743 |
j-invariant |
L |
6.4457049313201 |
L(r)(E,1)/r! |
Ω |
0.89623177538305 |
Real period |
R |
0.29966694574092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200s1 1012c1 |
Quadratic twists by: -4 5 |