Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030n |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-1.3213012695313E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1799884,-1081072112] |
[a1,a2,a3,a4,a6] |
Generators |
[4752:-314876:1] |
Generators of the group modulo torsion |
j |
-13160164466772067108329/2696533203125000000 |
j-invariant |
L |
2.2848552534044 |
L(r)(E,1)/r! |
Ω |
0.064461681506291 |
Real period |
R |
0.46638381455006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cr1 23030b1 |
Quadratic twists by: 5 -7 |