Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94962bu |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
1698172019376 = 24 · 3 · 78 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -4 3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1892724,-1002414624] |
[a1,a2,a3,a4,a6] |
Generators |
[3377394790:283376409658:456533] |
Generators of the group modulo torsion |
j |
130077228067138177/294576 |
j-invariant |
L |
16.173224423864 |
L(r)(E,1)/r! |
Ω |
0.12871457625421 |
Real period |
R |
15.706481051456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962bk1 |
Quadratic twists by: -7 |