Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700c |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
36115200 = 28 · 33 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1028,13032] |
[a1,a2,a3,a4,a6] |
Generators |
[18:6:1] |
Generators of the group modulo torsion |
j |
18790809040/5643 |
j-invariant |
L |
5.8273987834639 |
L(r)(E,1)/r! |
Ω |
2.0151763120586 |
Real period |
R |
0.96391876459776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bk1 |
Quadratic twists by: 5 |