Atkin-Lehner |
2+ 3- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274m |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
128452716 = 22 · 36 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18585,979857] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-72:1] |
Generators of the group modulo torsion |
j |
973861113148561/176204 |
j-invariant |
L |
3.7758578489381 |
L(r)(E,1)/r! |
Ω |
1.459866758009 |
Real period |
R |
0.32330500573161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586f1 |
Quadratic twists by: -3 |