Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230s |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1345328204480 = 26 · 5 · 137 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 3 2 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5947,168939] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:378:1] |
Generators of the group modulo torsion |
j |
4818245769/278720 |
j-invariant |
L |
13.812936962018 |
L(r)(E,1)/r! |
Ω |
0.84347055323528 |
Real period |
R |
1.3646926720817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710c1 |
Quadratic twists by: 13 |