Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898p |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-6269239296246784 = -1 · 210 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 2 3 2 11- 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54895766,156528324308] |
[a1,a2,a3,a4,a6] |
j |
-361585288790756017/123904 |
j-invariant |
L |
4.0538464727568 |
L(r)(E,1)/r! |
Ω |
0.25336540454211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718l1 40898bs1 |
Quadratic twists by: -11 13 |