Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989l |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
63021638986251957 = 37 · 1111 · 101 |
Discriminant |
Eigenvalues |
0 3- -2 5 11- -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-116886,-9523638] |
[a1,a2,a3,a4,a6] |
j |
136750071808/48798453 |
j-invariant |
L |
2.1266486400061 |
L(r)(E,1)/r! |
Ω |
0.26583110899968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663g1 9999l1 |
Quadratic twists by: -3 -11 |