Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646g |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-192586030272 = -1 · 26 · 39 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -3 0 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8520,-301312] |
[a1,a2,a3,a4,a6] |
j |
-12024915507/33856 |
j-invariant |
L |
1.9873486424022 |
L(r)(E,1)/r! |
Ω |
0.24841855790159 |
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 |
119646bk1 119646h1 |
Quadratic twists by: -3 17 |