Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22720t |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
60988535603200 = 235 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 2 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26625,1620575] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:40960:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
6.2837471656844 |
L(r)(E,1)/r! |
Ω |
0.62084188477237 |
Real period |
R |
1.2651665665221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720bj1 710b1 113600y1 |
Quadratic twists by: -4 8 5 |