Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654w |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1042585202372 = 22 · 76 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 2 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11810,-496469] |
[a1,a2,a3,a4,a6] |
Generators |
[-45675:58193:729] |
Generators of the group modulo torsion |
j |
1548415333009/8861828 |
j-invariant |
L |
9.9779037333175 |
L(r)(E,1)/r! |
Ω |
0.45812771333826 |
Real period |
R |
5.4449356821326 |
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 |
646c1 |
Quadratic twists by: -7 |