Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6700c |
Isogeny class |
Conductor |
6700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19260 |
Modular degree for the optimal curve |
Δ |
-10468750000 = -1 · 24 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60833,-5754838] |
[a1,a2,a3,a4,a6] |
j |
-159341363200/67 |
j-invariant |
L |
4.1039107625897 |
L(r)(E,1)/r! |
Ω |
0.15199669491073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26800bf1 107200w1 60300c1 6700l1 |
Quadratic twists by: -4 8 -3 5 |