Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384k |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
416114958018816 = 28 · 34 · 78 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60972,5690880] |
[a1,a2,a3,a4,a6] |
Generators |
[3831:236670:1] |
Generators of the group modulo torsion |
j |
832326941392/13816089 |
j-invariant |
L |
9.6014643392168 |
L(r)(E,1)/r! |
Ω |
0.53212800007819 |
Real period |
R |
4.5108809992348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9912b2 |
Quadratic twists by: -7 |