Atkin-Lehner |
2- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34960i |
Isogeny class |
Conductor |
34960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-2248850944000 = -1 · 212 · 53 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- -5 -6 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,72125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:285:1] |
Generators of the group modulo torsion |
j |
11239424/549035875 |
j-invariant |
L |
6.5844611562442 |
L(r)(E,1)/r! |
Ω |
0.64907843429287 |
Real period |
R |
1.6907204657059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2185b1 |
Quadratic twists by: -4 |