Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cf |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-1593011481214976 = -1 · 217 · 17 · 595 |
Discriminant |
Eigenvalues |
2- -1 -2 4 6 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69089,7271809] |
[a1,a2,a3,a4,a6] |
Generators |
[141:560:1] |
Generators of the group modulo torsion |
j |
-278257444311026/12153713083 |
j-invariant |
L |
5.8380888671865 |
L(r)(E,1)/r! |
Ω |
0.47076183313426 |
Real period |
R |
3.1003410091332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192ba1 16048n1 |
Quadratic twists by: -4 8 |