Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334k |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2075904 |
Modular degree for the optimal curve |
Δ |
-2332403501354785978 = -1 · 2 · 78 · 178 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -2 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,324974,17764950] |
[a1,a2,a3,a4,a6] |
Generators |
[24:5045:1] |
Generators of the group modulo torsion |
j |
544101734375/334358458 |
j-invariant |
L |
3.5726739140265 |
L(r)(E,1)/r! |
Ω |
0.15964912127708 |
Real period |
R |
0.93242866755112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999708208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117334c1 |
Quadratic twists by: 17 |