Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bh |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-32695438540800 = -1 · 231 · 3 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2344,-272400] |
[a1,a2,a3,a4,a6] |
Generators |
[748:20480:1] |
Generators of the group modulo torsion |
j |
347577210791/7982284800 |
j-invariant |
L |
3.0193512840808 |
L(r)(E,1)/r! |
Ω |
0.31838882745745 |
Real period |
R |
1.1854024951875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090l1 |
Quadratic twists by: -4 |