Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700z |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13916700000000 = 28 · 32 · 58 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24508,-1474012] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:39762:1] |
Generators of the group modulo torsion |
j |
407009977936/3479175 |
j-invariant |
L |
8.5721712106029 |
L(r)(E,1)/r! |
Ω |
0.38176408544829 |
Real period |
R |
3.7423509899981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740m2 |
Quadratic twists by: 5 |