Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176ce |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-366003155071254528 = -1 · 214 · 38 · 237 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115851,-32826566] |
[a1,a2,a3,a4,a6] |
Generators |
[575:9522:1] [2615:132462:1] |
Generators of the group modulo torsion |
j |
-389017/828 |
j-invariant |
L |
9.8086751803631 |
L(r)(E,1)/r! |
Ω |
0.12128846070493 |
Real period |
R |
5.0544148652217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9522k1 25392bc1 3312o1 |
Quadratic twists by: -4 -3 -23 |