Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127088m |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
28831186603024 = 24 · 138 · 472 |
Discriminant |
Eigenvalues |
2- 1 -2 3 3 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13914,571871] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:845:1] |
Generators of the group modulo torsion |
j |
22826752/2209 |
j-invariant |
L |
7.0523083339836 |
L(r)(E,1)/r! |
Ω |
0.64526497012775 |
Real period |
R |
1.821553552744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000200216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31772b1 127088f1 |
Quadratic twists by: -4 13 |