Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230j |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17512430342103180 = 22 · 32 · 5 · 1112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66667,1805089] |
[a1,a2,a3,a4,a6] |
Generators |
[20:683:1] |
Generators of the group modulo torsion |
j |
32769259536137668921/17512430342103180 |
j-invariant |
L |
3.07037490661 |
L(r)(E,1)/r! |
Ω |
0.34041354444382 |
Real period |
R |
3.0065146317122 |
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 |
81840dh4 30690z4 51150ci4 112530ca4 |
Quadratic twists by: -4 -3 5 -11 |