Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450o |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-39084082031250 = -1 · 2 · 38 · 511 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7308,-182534] |
[a1,a2,a3,a4,a6] |
j |
3789119879/3431250 |
j-invariant |
L |
2.8394967589559 |
L(r)(E,1)/r! |
Ω |
0.35493709486952 |
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 |
9150q1 5490t1 |
Quadratic twists by: -3 5 |