Atkin-Lehner |
2+ 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402j |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-989276940106308 = -1 · 22 · 38 · 74 · 17 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20547,-1007591] |
[a1,a2,a3,a4,a6] |
Generators |
[50:353:1] [68:803:1] |
Generators of the group modulo torsion |
j |
1315920210858287/1357032839652 |
j-invariant |
L |
6.699135662483 |
L(r)(E,1)/r! |
Ω |
0.26822756469473 |
Real period |
R |
0.78048648613258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134bb3 |
Quadratic twists by: -3 |