Atkin-Lehner |
2- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75106b |
Isogeny class |
Conductor |
75106 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
11727786277952 = 26 · 17 · 476 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6673,-130455] |
[a1,a2,a3,a4,a6] |
Generators |
[184:-2301:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
3.2593853542491 |
L(r)(E,1)/r! |
Ω |
0.54383575781761 |
Real period |
R |
0.9988877788179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34a1 |
Quadratic twists by: -47 |