Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78988f |
Isogeny class |
Conductor |
78988 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-9861809776 = -1 · 24 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,278,4341] |
[a1,a2,a3,a4,a6] |
j |
1257728/5239 |
j-invariant |
L |
1.8434632633591 |
L(r)(E,1)/r! |
Ω |
0.92173162996295 |
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 |
1612c1 |
Quadratic twists by: -7 |