Atkin-Lehner |
3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
63291m |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-5286127611 = -1 · 3 · 176 · 73 |
Discriminant |
Eigenvalues |
-2 3- 1 -2 4 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1830,29732] |
[a1,a2,a3,a4,a6] |
Generators |
[29:43:1] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
4.1430544501543 |
L(r)(E,1)/r! |
Ω |
1.3664056199767 |
Real period |
R |
3.0320824133256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
219a1 |
Quadratic twists by: 17 |