Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bu |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13388096905005312 = -1 · 28 · 32 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8188,-5571524] |
[a1,a2,a3,a4,a6] |
Generators |
[515267147:4790093532:2248091] |
Generators of the group modulo torsion |
j |
-2000/441 |
j-invariant |
L |
5.0078027064393 |
L(r)(E,1)/r! |
Ω |
0.17755161502376 |
Real period |
R |
14.102385612628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276g2 97104cg2 |
Quadratic twists by: -4 17 |