Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26934c |
Isogeny class |
Conductor |
26934 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
654556853374884 = 22 · 33 · 677 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-166187,-26060830] |
[a1,a2,a3,a4,a6] |
Generators |
[14382:585353:8] |
Generators of the group modulo torsion |
j |
5611284433/7236 |
j-invariant |
L |
4.2783344504482 |
L(r)(E,1)/r! |
Ω |
0.23647445634769 |
Real period |
R |
3.0153605288047 |
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 |
80802o1 402c1 |
Quadratic twists by: -3 -67 |