Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550eq |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-10072260307200 = -1 · 28 · 3 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140166,20186968] |
[a1,a2,a3,a4,a6] |
j |
-301873457335/9984 |
j-invariant |
L |
2.7056188770034 |
L(r)(E,1)/r! |
Ω |
0.67640474254535 |
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 |
95550hy1 95550v1 |
Quadratic twists by: 5 -7 |