Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cu |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2876903185766400000 = -1 · 214 · 33 · 55 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,349777,-17969353] |
[a1,a2,a3,a4,a6] |
j |
1489863969861597/905676800000 |
j-invariant |
L |
4.1305513258524 |
L(r)(E,1)/r! |
Ω |
0.14751969040958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790o1 11970bj1 |
Quadratic twists by: -3 -7 |