Atkin-Lehner |
2- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42772b |
Isogeny class |
Conductor |
42772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
66074374481152 = 28 · 178 · 37 |
Discriminant |
Eigenvalues |
2- -1 -2 1 1 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45469,3726473] |
[a1,a2,a3,a4,a6] |
Generators |
[91:578:1] |
Generators of the group modulo torsion |
j |
1682464768/10693 |
j-invariant |
L |
3.3831529129231 |
L(r)(E,1)/r! |
Ω |
0.62264362180935 |
Real period |
R |
0.9055883639844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2516a1 |
Quadratic twists by: 17 |