Atkin-Lehner |
43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
112789b |
Isogeny class |
Conductor |
112789 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-385603145989 = -1 · 436 · 61 |
Discriminant |
Eigenvalues |
1 2 3 -1 -5 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3736,-94407] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:10551:8] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
13.488140102173 |
L(r)(E,1)/r! |
Ω |
0.30414481956295 |
Real period |
R |
2.7717347130289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000105113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61a1 |
Quadratic twists by: -43 |