Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fx |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-174127223558419200 = -1 · 28 · 323 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117120,-25319540] |
[a1,a2,a3,a4,a6] |
j |
-38081092648960/37321507107 |
j-invariant |
L |
0.99281509624987 |
L(r)(E,1)/r! |
Ω |
0.12410188717862 |
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 |
15300v1 20400dd1 61200gr1 |
Quadratic twists by: -4 -3 5 |