Atkin-Lehner |
2- 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790bn |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
150336 |
Modular degree for the optimal curve |
Δ |
-10645019896320 = -1 · 29 · 39 · 5 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1298,-157679] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3551:1] |
Generators of the group modulo torsion |
j |
-12278428443/540823040 |
j-invariant |
L |
9.336786083855 |
L(r)(E,1)/r! |
Ω |
0.31553422649885 |
Real period |
R |
0.54797049406346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790f1 |
Quadratic twists by: -3 |