Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178t |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
13436928 |
Modular degree for the optimal curve |
Δ |
7.2630398625253E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38826000,-92226665487] |
[a1,a2,a3,a4,a6] |
Generators |
[-3723:28997:1] |
Generators of the group modulo torsion |
j |
268162555204755930529/3009018788315136 |
j-invariant |
L |
11.327615351656 |
L(r)(E,1)/r! |
Ω |
0.060522015326345 |
Real period |
R |
3.4660222998123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834u1 |
Quadratic twists by: 17 |