Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bc |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-128755630080 = -1 · 216 · 36 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263,17407] |
[a1,a2,a3,a4,a6] |
Generators |
[7:122:1] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
5.8368713690915 |
L(r)(E,1)/r! |
Ω |
0.86067592575034 |
Real period |
R |
0.42385809763435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dc1 770e1 34650w1 48510ek1 |
Quadratic twists by: -4 -3 5 -7 |