Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cm |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
739251562500000000 = 28 · 36 · 514 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2250338,-1298859708] |
[a1,a2,a3,a4,a6] |
j |
80657909151838319449/47312100000000 |
j-invariant |
L |
5.9168988143456 |
L(r)(E,1)/r! |
Ω |
0.12326872549102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470c1 |
Quadratic twists by: 5 |