Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020d |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-102093205263033600 = -1 · 28 · 33 · 52 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95697,-10319498] |
[a1,a2,a3,a4,a6] |
Generators |
[219:4598:1] |
Generators of the group modulo torsion |
j |
347482224/366025 |
j-invariant |
L |
6.0602522270732 |
L(r)(E,1)/r! |
Ω |
0.18196547796829 |
Real period |
R |
2.775367198079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020w2 97020r2 |
Quadratic twists by: -3 -7 |