Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545j |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
715392 |
Modular degree for the optimal curve |
Δ |
-97907134682791035 = -1 · 36 · 5 · 73 · 238 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1711491,861368285] |
[a1,a2,a3,a4,a6] |
j |
-7079867613184/1250235 |
j-invariant |
L |
1.9599316243681 |
L(r)(E,1)/r! |
Ω |
0.3266552707531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55545q1 |
Quadratic twists by: -23 |