Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bm |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
527012282368 = 214 · 114 · 133 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39728,3060928] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-22:1] [104:-208:1] |
Generators of the group modulo torsion |
j |
115636266625/8788 |
j-invariant |
L |
6.4913262929152 |
L(r)(E,1)/r! |
Ω |
0.88225110188074 |
Real period |
R |
0.20438015760279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146o2 100672cm2 25168y2 |
Quadratic twists by: -4 8 -11 |