Atkin-Lehner |
2+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584f |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
1.7062273724389E+23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18981010,-24862508169] |
[a1,a2,a3,a4,a6] |
Generators |
[-322089010:-4028846151:97336] |
Generators of the group modulo torsion |
j |
47267396664174887968512000/10663921077743120424853 |
j-invariant |
L |
6.0643546073979 |
L(r)(E,1)/r! |
Ω |
0.073499206384272 |
Real period |
R |
13.751519473777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22792a1 |
Quadratic twists by: -4 |