Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bk |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
8156160 |
Modular degree for the optimal curve |
Δ |
2.0399175213948E+20 |
Discriminant |
Eigenvalues |
2- -3 2 7- 11- -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2738979,1604405355] |
[a1,a2,a3,a4,a6] |
Generators |
[-415:51874:1] |
Generators of the group modulo torsion |
j |
1282725002617056153/115148026028728 |
j-invariant |
L |
6.6424241175872 |
L(r)(E,1)/r! |
Ω |
0.17370914001946 |
Real period |
R |
0.26554702526957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999971106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394a1 |
Quadratic twists by: -11 |