Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208g |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
3088826494208 = 28 · 79 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,201684] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-686:1] |
Generators of the group modulo torsion |
j |
3456000/299 |
j-invariant |
L |
5.3015479510867 |
L(r)(E,1)/r! |
Ω |
0.77965144286643 |
Real period |
R |
0.84998687370668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208b1 |
Quadratic twists by: -7 |