Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350ch |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-113128335937500 = -1 · 22 · 3 · 59 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12763,-760219] |
[a1,a2,a3,a4,a6] |
Generators |
[3028301080:-9386416899:21952000] |
Generators of the group modulo torsion |
j |
-24389/12 |
j-invariant |
L |
6.1641120242758 |
L(r)(E,1)/r! |
Ω |
0.21944960127649 |
Real period |
R |
14.044482169073 |
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 |
76050cq1 25350bq1 150b1 |
Quadratic twists by: -3 5 13 |