Atkin-Lehner |
2+ 3+ 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26970a |
Isogeny class |
Conductor |
26970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-691211601562500 = -1 · 22 · 39 · 510 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -1 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21867,-216927] |
[a1,a2,a3,a4,a6] |
j |
1156272759366732071/691211601562500 |
j-invariant |
L |
1.1881214475092 |
L(r)(E,1)/r! |
Ω |
0.29703036187732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80910x1 |
Quadratic twists by: -3 |