Atkin-Lehner |
3+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743m |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
21511793457 = 38 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11- -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1205,-14974] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:49:1] |
Generators of the group modulo torsion |
j |
564174247447/62716599 |
j-invariant |
L |
1.7279496517943 |
L(r)(E,1)/r! |
Ω |
0.81616161047044 |
Real period |
R |
1.058582959373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000612965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bi1 |
Quadratic twists by: -7 |