Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230j |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
55160031920400 = 24 · 34 · 52 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38767,-2932331] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:196:1] |
Generators of the group modulo torsion |
j |
6443588518022803321/55160031920400 |
j-invariant |
L |
3.07037490661 |
L(r)(E,1)/r! |
Ω |
0.34041354444382 |
Real period |
R |
1.5032573158561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840dh2 30690z2 51150ci2 112530ca2 |
Quadratic twists by: -4 -3 5 -11 |