Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958c |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-935544848 = -1 · 24 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -5 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-1483] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] [14:27:1] |
Generators of the group modulo torsion |
j |
-15625/7952 |
j-invariant |
L |
3.4378737156225 |
L(r)(E,1)/r! |
Ω |
0.70554513766891 |
Real period |
R |
0.60908110836485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664w1 62622ci1 994a1 |
Quadratic twists by: -4 -3 -7 |