Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520u |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
56074240 = 213 · 5 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-640] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] |
Generators of the group modulo torsion |
j |
81289/10 |
j-invariant |
L |
3.7835468441772 |
L(r)(E,1)/r! |
Ω |
1.3524860451744 |
Real period |
R |
0.69936892605247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690l1 109520j1 |
Quadratic twists by: -4 37 |