Atkin-Lehner |
3+ 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26691b |
Isogeny class |
Conductor |
26691 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
687960 |
Modular degree for the optimal curve |
Δ |
-1603731020359462659 = -1 · 313 · 77 · 313 · 41 |
Discriminant |
Eigenvalues |
2 3+ -1 7- -6 2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-274156,-82158777] |
[a1,a2,a3,a4,a6] |
j |
-2278864805539789656064/1603731020359462659 |
j-invariant |
L |
0.70824566967881 |
L(r)(E,1)/r! |
Ω |
0.10117795281134 |
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 |
80073f1 |
Quadratic twists by: -3 |