Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520t |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
24675840 |
Modular degree for the optimal curve |
Δ |
-8.7704902384998E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9180931520,338599261236780] |
[a1,a2,a3,a4,a6] |
Generators |
[81817:11624158:1] |
Generators of the group modulo torsion |
j |
-41788232654067676478925951960962/428246593676749551934035 |
j-invariant |
L |
5.4867096385682 |
L(r)(E,1)/r! |
Ω |
0.045157053512544 |
Real period |
R |
1.9286162937852 |
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 |
53040bd1 79560h1 |
Quadratic twists by: -4 -3 |