Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400m |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-119098502908000000 = -1 · 28 · 56 · 75 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95692,12109888] |
[a1,a2,a3,a4,a6] |
j |
24226243449392/29774625727 |
j-invariant |
L |
0.88852421238637 |
L(r)(E,1)/r! |
Ω |
0.22213105309659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800n1 123200v1 616b1 107800bs1 |
Quadratic twists by: -4 8 5 -7 |