Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792be |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
2 |
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 |
[26:13:1] |
Generators of the group modulo torsion |
j |
-1066370439424/5034679 |
j-invariant |
L |
3.9089121091969 |
L(r)(E,1)/r! |
Ω |
1.3691751077522 |
Real period |
R |
1.4274697542574 |
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 |
25792t1 6448a1 |
Quadratic twists by: -4 8 |