Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bn |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-548759070312500 = -1 · 22 · 59 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2432230,-1460210600] |
[a1,a2,a3,a4,a6] |
Generators |
[1860:20320:1] |
Generators of the group modulo torsion |
j |
-19052060876166938401/6570312500 |
j-invariant |
L |
13.782650603538 |
L(r)(E,1)/r! |
Ω |
0.060446114415776 |
Real period |
R |
2.1112545680021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810t1 |
Quadratic twists by: 17 |