Atkin-Lehner |
3- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96807c |
Isogeny class |
Conductor |
96807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-16823242533627 = -1 · 34 · 237 · 61 |
Discriminant |
Eigenvalues |
0 3- 2 -1 3 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20807,-1178911] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2968:1] |
Generators of the group modulo torsion |
j |
-6729859072/113643 |
j-invariant |
L |
7.9068488246372 |
L(r)(E,1)/r! |
Ω |
0.19855464994202 |
Real period |
R |
4.977753493402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209a1 |
Quadratic twists by: -23 |