Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cr |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
980 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-2.5578415378493E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15807644,-2625831664] |
[a1,a2,a3,a4,a6] |
Generators |
[2048:-196828:1] |
Generators of the group modulo torsion |
j |
3713102264066983114319/2174129434036224000 |
j-invariant |
L |
10.925671276262 |
L(r)(E,1)/r! |
Ω |
0.057921719352588 |
Real period |
R |
0.19247778353213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770s1 |
Quadratic twists by: -7 |