Atkin-Lehner |
2+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
7442a |
Isogeny class |
Conductor |
7442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-14526784 = -1 · 26 · 613 |
Discriminant |
Eigenvalues |
2+ 2 3 3 3 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16,-192] |
[a1,a2,a3,a4,a6] |
j |
-2197/64 |
j-invariant |
L |
3.8615681298861 |
L(r)(E,1)/r! |
Ω |
0.96539203247153 |
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 |
59536i1 66978r1 7442c1 |
Quadratic twists by: -4 -3 61 |