Atkin-Lehner |
2+ 3- 11- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25806g |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
510492729707237376 = 212 · 39 · 113 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9289770,-10898938724] |
[a1,a2,a3,a4,a6] |
Generators |
[11462:1172616:1] |
Generators of the group modulo torsion |
j |
88662205431445681329212953/510492729707237376 |
j-invariant |
L |
5.4032806049471 |
L(r)(E,1)/r! |
Ω |
0.08647657287273 |
Real period |
R |
2.3141701531287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418w1 |
Quadratic twists by: -3 |