Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25080l |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
10834560000 = 210 · 34 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5576,-158340] |
[a1,a2,a3,a4,a6] |
j |
18727074353956/10580625 |
j-invariant |
L |
1.104986816043 |
L(r)(E,1)/r! |
Ω |
0.55249340802146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160n1 75240o1 125400bn1 |
Quadratic twists by: -4 -3 5 |