Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775ba |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-20751110296875 = -1 · 313 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9525,-419594] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
0.95544008897269 |
L(r)(E,1)/r! |
Ω |
0.23886002224295 |
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 |
8925g1 1071d1 |
Quadratic twists by: -3 5 |