Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bw |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-2289409272041472000 = -1 · 215 · 36 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-721044,246830800] |
[a1,a2,a3,a4,a6] |
j |
-483385461758641/26693632000 |
j-invariant |
L |
3.0703269048989 |
L(r)(E,1)/r! |
Ω |
0.25586057411308 |
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 |
9310p1 11970u1 |
Quadratic twists by: -3 -7 |