Atkin-Lehner |
2+ 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470k |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
453120 |
Modular degree for the optimal curve |
Δ |
-373351649220 = -1 · 22 · 37 · 5 · 115 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177489,28825393] |
[a1,a2,a3,a4,a6] |
j |
-848226600318144529/512142180 |
j-invariant |
L |
3.1433440271496 |
L(r)(E,1)/r! |
Ω |
0.78583600706986 |
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 |
17490u1 |
Quadratic twists by: -3 |