Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6700i |
Isogeny class |
Conductor |
6700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2700 |
Modular degree for the optimal curve |
Δ |
-418750000 = -1 · 24 · 58 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -6 -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,588] |
[a1,a2,a3,a4,a6] |
Generators |
[8:50:1] |
Generators of the group modulo torsion |
j |
81920/67 |
j-invariant |
L |
2.6587033800623 |
L(r)(E,1)/r! |
Ω |
1.0844786528498 |
Real period |
R |
0.81719862137616 |
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 |
26800bm1 107200bk1 60300p1 6700f1 |
Quadratic twists by: -4 8 -3 5 |