Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6853h |
Isogeny class |
Conductor |
6853 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-1266962081 = -1 · 76 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 -1 -3 7- 11- 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,108,1702] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:39:1] |
Generators of the group modulo torsion |
j |
139233463487/1266962081 |
j-invariant |
L |
1.4372547062218 |
L(r)(E,1)/r! |
Ω |
1.1221313776813 |
Real period |
R |
0.10673547491914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648f1 61677m1 47971k1 75383a1 |
Quadratic twists by: -4 -3 -7 -11 |