Atkin-Lehner |
2+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688d |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
716544 |
Modular degree for the optimal curve |
Δ |
-491153934159020864 = -1 · 26 · 232 · 299 |
Discriminant |
Eigenvalues |
2+ -1 3 4 -5 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17524,-33724378] |
[a1,a2,a3,a4,a6] |
j |
-9299685341217088/7674280221234701 |
j-invariant |
L |
2.3902916721597 |
L(r)(E,1)/r! |
Ω |
0.13279398178757 |
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 |
42688i1 21344d1 |
Quadratic twists by: -4 8 |