Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202q |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-55822084699472 = -1 · 24 · 7 · 139 · 47 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312738,67291028] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:11082:1] |
Generators of the group modulo torsion |
j |
-700818646515625/11565008 |
j-invariant |
L |
12.847999987888 |
L(r)(E,1)/r! |
Ω |
0.57578050035594 |
Real period |
R |
1.3946286824952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554e1 |
Quadratic twists by: 13 |