Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176ba |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-31986607104 = -1 · 210 · 310 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 0 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,8602] |
[a1,a2,a3,a4,a6] |
Generators |
[3:94:1] |
Generators of the group modulo torsion |
j |
92/81 |
j-invariant |
L |
10.219181688836 |
L(r)(E,1)/r! |
Ω |
0.91360920379111 |
Real period |
R |
2.7963766251004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088bb1 25392s1 76176bb1 |
Quadratic twists by: -4 -3 -23 |