Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790i |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-469116748800000 = -1 · 213 · 39 · 55 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30795,-2318779] |
[a1,a2,a3,a4,a6] |
Generators |
[3822025:32105329:15625] |
Generators of the group modulo torsion |
j |
-3348766740627/486400000 |
j-invariant |
L |
3.8049628769604 |
L(r)(E,1)/r! |
Ω |
0.17876011016234 |
Real period |
R |
10.64265085749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790di1 83790k1 |
Quadratic twists by: -3 -7 |