Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6700d |
Isogeny class |
Conductor |
6700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-52343750000 = -1 · 24 · 511 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30158,2025937] |
[a1,a2,a3,a4,a6] |
Generators |
[62:625:1] |
Generators of the group modulo torsion |
j |
-12134048168704/209375 |
j-invariant |
L |
2.5474519256568 |
L(r)(E,1)/r! |
Ω |
1.0306649674222 |
Real period |
R |
0.20597154961262 |
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 |
26800r1 107200d1 60300n1 1340a1 |
Quadratic twists by: -4 8 -3 5 |