Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150v |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-739105128125000 = -1 · 23 · 58 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18924,842298] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
1.3330440333997 |
L(r)(E,1)/r! |
Ω |
0.33326100775009 |
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 |
59150bw1 350b1 |
Quadratic twists by: 5 13 |