Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216y |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2904541763207168 = 219 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1637057,-805652287] |
[a1,a2,a3,a4,a6] |
Generators |
[655969897:13618865568:389017] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
13.000728195667 |
L(r)(E,1)/r! |
Ω |
0.13347002390871 |
Real period |
R |
12.175700404388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bv2 3038l2 13888e2 |
Quadratic twists by: -4 8 -7 |