Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654n |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
2.4189417964814E+20 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1755214,491518045] |
[a1,a2,a3,a4,a6] |
Generators |
[-725:37545:1] |
Generators of the group modulo torsion |
j |
5083062654573191457/2056066601910272 |
j-invariant |
L |
9.9269855961256 |
L(r)(E,1)/r! |
Ω |
0.15948170355716 |
Real period |
R |
3.8903309026634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522j1 |
Quadratic twists by: -7 |