Atkin-Lehner |
2+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107822h |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
-2.2031404989567E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 -3 11+ 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,600285,-137420083] |
[a1,a2,a3,a4,a6] |
Generators |
[31673:5622764:1] |
Generators of the group modulo torsion |
j |
2255822295875/2077552576 |
j-invariant |
L |
6.0412319788314 |
L(r)(E,1)/r! |
Ω |
0.11755630026177 |
Real period |
R |
4.2825097221656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107822s1 |
Quadratic twists by: 13 |