Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810dp |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-8046358081982388000 = -1 · 25 · 38 · 53 · 73 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,428680,83433312] |
[a1,a2,a3,a4,a6] |
Generators |
[2044:96448:1] |
Generators of the group modulo torsion |
j |
185183253170999/171032148000 |
j-invariant |
L |
11.478484119509 |
L(r)(E,1)/r! |
Ω |
0.15266415722238 |
Real period |
R |
0.15664127727713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990i1 |
Quadratic twists by: -19 |