Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976da |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-574274427584 = -1 · 26 · 11 · 138 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,38219] |
[a1,a2,a3,a4,a6] |
Generators |
[22:169:1] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
2.2073990670268 |
L(r)(E,1)/r! |
Ω |
0.79065095495212 |
Real period |
R |
1.3959378114888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997264292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976e1 29744m1 9152v1 |
Quadratic twists by: -4 8 13 |