Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598f |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-25242393808268 = -1 · 22 · 7 · 133 · 177 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13155,623593] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:119:1] [52:-315:1] |
Generators of the group modulo torsion |
j |
-10431681625/1045772 |
j-invariant |
L |
5.6715944512049 |
L(r)(E,1)/r! |
Ω |
0.65454598917891 |
Real period |
R |
0.36103870373308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b1 |
Quadratic twists by: 17 |