Atkin-Lehner |
3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63291b |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-47575148499 = -1 · 33 · 176 · 73 |
Discriminant |
Eigenvalues |
0 3+ 3 4 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,771,6248] |
[a1,a2,a3,a4,a6] |
Generators |
[10042:355725:8] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
6.3274226691847 |
L(r)(E,1)/r! |
Ω |
0.74155659012072 |
Real period |
R |
8.5326228004093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
219b1 |
Quadratic twists by: 17 |