Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880v |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-459467653120 = -1 · 219 · 5 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4873800,-4139799568] |
[a1,a2,a3,a4,a6] |
Generators |
[831876002882052:-144097350972537536:27570978261] |
Generators of the group modulo torsion |
j |
-3125841581804401744201/112174720 |
j-invariant |
L |
8.8755612828386 |
L(r)(E,1)/r! |
Ω |
0.050804551955704 |
Real period |
R |
21.837514900675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110b1 |
Quadratic twists by: -4 |