Atkin-Lehner |
3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989a |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1396354751127 = -1 · 32 · 7 · 536 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2751,-11088] |
[a1,a2,a3,a4,a6] |
Generators |
[267372:3296103:21952] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
6.1465168210997 |
L(r)(E,1)/r! |
Ω |
0.49572373192084 |
Real period |
R |
6.199538599086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a4 |
Quadratic twists by: 53 |