Atkin-Lehner |
7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2989a |
Isogeny class |
Conductor |
2989 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
50236123 = 77 · 61 |
Discriminant |
Eigenvalues |
1 -1 4 7- -3 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-2855] |
[a1,a2,a3,a4,a6] |
j |
47045881/427 |
j-invariant |
L |
2.1804790365947 |
L(r)(E,1)/r! |
Ω |
1.0902395182974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824k1 26901n1 74725e1 427b1 |
Quadratic twists by: -4 -3 5 -7 |