Atkin-Lehner |
2+ 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694f |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131712 |
Modular degree for the optimal curve |
Δ |
-129615785684 = -1 · 22 · 79 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1265,209] |
[a1,a2,a3,a4,a6] |
j |
5545233/3212 |
j-invariant |
L |
2.4969902639129 |
L(r)(E,1)/r! |
Ω |
0.62424757359688 |
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 |
78694i1 |
Quadratic twists by: -7 |