Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
102608i |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-27129753862221824 = -1 · 212 · 119 · 532 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11+ 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7099,7918957] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2809:1] |
Generators of the group modulo torsion |
j |
4096/2809 |
j-invariant |
L |
4.41213310223 |
L(r)(E,1)/r! |
Ω |
0.29246548869993 |
Real period |
R |
3.7714989273053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6413e1 102608h1 |
Quadratic twists by: -4 -11 |