Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cj |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-356693177984000000 = -1 · 213 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 11- 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39262,-28574908] |
[a1,a2,a3,a4,a6] |
j |
241804367/12886016 |
j-invariant |
L |
3.7634436126451 |
L(r)(E,1)/r! |
Ω |
0.14474783063461 |
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 |
3146d1 7150c1 |
Quadratic twists by: 5 -11 |