Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270x |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-670033963541250 = -1 · 2 · 35 · 54 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21136,391736] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:517:1] [54:5819:8] |
Generators of the group modulo torsion |
j |
1044291275709526151/670033963541250 |
j-invariant |
L |
7.385782673192 |
L(r)(E,1)/r! |
Ω |
0.31822583843758 |
Real period |
R |
2.3209248844952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ee3 |
Quadratic twists by: -3 |