Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350ba |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
739251562500 = 22 · 36 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8001,271648] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-609:1] |
Generators of the group modulo torsion |
j |
3624586490881/47312100 |
j-invariant |
L |
5.8783004549659 |
L(r)(E,1)/r! |
Ω |
0.903486268833 |
Real period |
R |
0.54218684621353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470y1 |
Quadratic twists by: 5 |