Atkin-Lehner |
2+ 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402b |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
29898147523212864 = 26 · 36 · 74 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153168,-21482560] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:508:1] |
Generators of the group modulo torsion |
j |
545132284900566273/41012548042816 |
j-invariant |
L |
3.5481028076217 |
L(r)(E,1)/r! |
Ω |
0.24247586030934 |
Real period |
R |
1.8291010509794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7378p2 |
Quadratic twists by: -3 |