Atkin-Lehner |
3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311g |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
572832 |
Modular degree for the optimal curve |
Δ |
-175349614794417 = -1 · 33 · 72 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 3 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12999,-278304] |
[a1,a2,a3,a4,a6] |
j |
34822511/25137 |
j-invariant |
L |
1.9255884728131 |
L(r)(E,1)/r! |
Ω |
0.32093169945409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311s1 |
Quadratic twists by: 17 |