Atkin-Lehner |
2+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440c |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
752000 |
Modular degree for the optimal curve |
Δ |
744810579200000 = 211 · 55 · 195 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 5 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-967880,366825872] |
[a1,a2,a3,a4,a6] |
Generators |
[424:5700:1] |
Generators of the group modulo torsion |
j |
48961955626266007442/363677040625 |
j-invariant |
L |
11.255320442215 |
L(r)(E,1)/r! |
Ω |
0.45344517021396 |
Real period |
R |
0.24821789228542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35720b1 |
Quadratic twists by: -4 |