Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946u |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
696320 |
Modular degree for the optimal curve |
Δ |
1123511503314203748 = 22 · 38 · 179 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-733777,-236557723] |
[a1,a2,a3,a4,a6] |
Generators |
[-3482:6871:8] |
Generators of the group modulo torsion |
j |
368447607809/9474084 |
j-invariant |
L |
10.149406161792 |
L(r)(E,1)/r! |
Ω |
0.16337655830989 |
Real period |
R |
3.8826738160859 |
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 |
98838m1 32946q1 |
Quadratic twists by: -3 17 |