Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bf |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
206807040 |
Modular degree for the optimal curve |
Δ |
2.0903906156879E+31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9485014383,279340347186841] |
[a1,a2,a3,a4,a6] |
Generators |
[33104:1258379:1] |
Generators of the group modulo torsion |
j |
129452417492913967554580060123633/28674768390780154904271934308 |
j-invariant |
L |
4.6307649516237 |
L(r)(E,1)/r! |
Ω |
0.020331235867457 |
Real period |
R |
1.0544723776318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258x1 |
Quadratic twists by: -3 |