Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25792t |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-5155511296 = -1 · 210 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,-37687] |
[a1,a2,a3,a4,a6] |
Generators |
[4368:52793:27] |
Generators of the group modulo torsion |
j |
-1066370439424/5034679 |
j-invariant |
L |
8.1272821850214 |
L(r)(E,1)/r! |
Ω |
0.35064948324086 |
Real period |
R |
3.8629659976041 |
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 |
25792be1 3224c1 |
Quadratic twists by: -4 8 |