Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600b |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2.3460175070053E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22919783,42177460812] |
[a1,a2,a3,a4,a6] |
Generators |
[-5069:167587:1] |
Generators of the group modulo torsion |
j |
5326172487431504287744/9384070028021325 |
j-invariant |
L |
4.4602819625574 |
L(r)(E,1)/r! |
Ω |
0.14549811247839 |
Real period |
R |
7.6638141324566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bu1 10920r1 |
Quadratic twists by: -4 5 |