Atkin-Lehner |
2+ 3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402i |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79730587532988 = 22 · 38 · 78 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-911106,-334507320] |
[a1,a2,a3,a4,a6] |
Generators |
[2205:90405:1] |
Generators of the group modulo torsion |
j |
114736915877202402337/109369804572 |
j-invariant |
L |
4.826220927616 |
L(r)(E,1)/r! |
Ω |
0.15452805222995 |
Real period |
R |
3.9040006472059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134bd4 |
Quadratic twists by: -3 |