Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bh |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-9912320 = -1 · 214 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,145] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
5.1440558615872 |
L(r)(E,1)/r! |
Ω |
1.7256823369977 |
Real period |
R |
0.74522056454155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720de1 2420c1 38720bj1 |
Quadratic twists by: -4 8 -11 |