Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598u |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
4022379336792707072 = 212 · 72 · 132 · 179 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1369288,608557129] |
[a1,a2,a3,a4,a6] |
Generators |
[307:14585:1] |
Generators of the group modulo torsion |
j |
11762905557390625/166643929088 |
j-invariant |
L |
13.248070958457 |
L(r)(E,1)/r! |
Ω |
0.24796923262365 |
Real period |
R |
1.1130472735745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i1 |
Quadratic twists by: 17 |