Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910o |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
1.059411403547E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4777659,-4015243035] |
[a1,a2,a3,a4,a6] |
Generators |
[-1812356112:923691021:1404928] |
Generators of the group modulo torsion |
j |
16544044236927440400049/14532392366899200 |
j-invariant |
L |
5.5866838615229 |
L(r)(E,1)/r! |
Ω |
0.10212184796591 |
Real period |
R |
13.676514805513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970s1 |
Quadratic twists by: -3 |