Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290y |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1150039308150000000 = 27 · 39 · 58 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-292568,-32297893] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:4425:1] |
Generators of the group modulo torsion |
j |
3799052198749325881/1577557350000000 |
j-invariant |
L |
9.5054965037058 |
L(r)(E,1)/r! |
Ω |
0.21295730001441 |
Real period |
R |
1.5941318662404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430p2 |
Quadratic twists by: -3 |