Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432da |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
784896 |
Modular degree for the optimal curve |
Δ |
5473423145756496 = 24 · 3 · 79 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192537,-32386530] |
[a1,a2,a3,a4,a6] |
Generators |
[-174691092016150:-48595072316988:735091890625] |
Generators of the group modulo torsion |
j |
1222548865024/8477283 |
j-invariant |
L |
9.3347843546271 |
L(r)(E,1)/r! |
Ω |
0.22800916363548 |
Real period |
R |
20.470195599486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108d1 96432bd1 |
Quadratic twists by: -4 -7 |