Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178l |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
298045440 |
Modular degree for the optimal curve |
Δ |
4.0738726292268E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141481942806,20483274536229976] |
[a1,a2,a3,a4,a6] |
Generators |
[213833:-2789415:1] |
Generators of the group modulo torsion |
j |
12975772672929840830286398421625/1687772546285328 |
j-invariant |
L |
6.7310482022483 |
L(r)(E,1)/r! |
Ω |
0.045317896139864 |
Real period |
R |
2.6523139706498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834b1 |
Quadratic twists by: 17 |