Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dy |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-30035981703168000 = -1 · 214 · 38 · 53 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34628,-8690713] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/350208000 |
j-invariant |
L |
4.3634982335245 |
L(r)(E,1)/r! |
Ω |
0.15583922246673 |
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 |
27930bo1 1710t1 |
Quadratic twists by: -3 -7 |