Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790s |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-185484547503360 = -1 · 28 · 33 · 5 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13956,-166832] |
[a1,a2,a3,a4,a6] |
j |
39413493/24320 |
j-invariant |
L |
1.3133130599467 |
L(r)(E,1)/r! |
Ω |
0.32832825518924 |
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 |
83790cy1 83790a1 |
Quadratic twists by: -3 -7 |