Atkin-Lehner |
3- 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225v |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-1019063671875 = -1 · 32 · 58 · 173 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,55423] |
[a1,a2,a3,a4,a6] |
Generators |
[2774:49951:8] |
Generators of the group modulo torsion |
j |
-1392225385/2608803 |
j-invariant |
L |
11.400455423296 |
L(r)(E,1)/r! |
Ω |
0.78231753212863 |
Real period |
R |
7.2863351229327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225d1 |
Quadratic twists by: 5 |