Atkin-Lehner |
3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195r |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
2.3883512705576E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 0 4 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17349762,-14860968453] |
[a1,a2,a3,a4,a6] |
Generators |
[-1873:105187:1] |
Generators of the group modulo torsion |
j |
792276453130741641478144/327620201722583203125 |
j-invariant |
L |
5.1839150440452 |
L(r)(E,1)/r! |
Ω |
0.076721532253007 |
Real period |
R |
4.2229955623227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19065i1 |
Quadratic twists by: -3 |