Atkin-Lehner |
2- 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cq |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
50948352 |
Modular degree for the optimal curve |
Δ |
-8.490781666762E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31130895,438267636585] |
[a1,a2,a3,a4,a6] |
j |
24202766345041271/615905596592640 |
j-invariant |
L |
8.6056795456283 |
L(r)(E,1)/r! |
Ω |
0.045532695173158 |
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 |
116610bc1 |
Quadratic twists by: 13 |