Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bi |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-21415104000000 = -1 · 212 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31800,2194000] |
[a1,a2,a3,a4,a6] |
Generators |
[104:108:1] |
Generators of the group modulo torsion |
j |
-76225024/459 |
j-invariant |
L |
6.3194023461134 |
L(r)(E,1)/r! |
Ω |
0.68395527835846 |
Real period |
R |
1.1549370617397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999204414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400bd1 40800bq1 4896k1 |
Quadratic twists by: -4 -3 5 |