Atkin-Lehner |
2+ 3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550q |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-77840625000 = -1 · 23 · 3 · 58 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1825,32125] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:245:1] |
Generators of the group modulo torsion |
j |
-1722360505/199272 |
j-invariant |
L |
2.3758300445396 |
L(r)(E,1)/r! |
Ω |
1.0561755466533 |
Real period |
R |
0.3749108520437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65550ca1 |
Quadratic twists by: 5 |