Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230c |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7117423473600 = 26 · 34 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9333,318573] |
[a1,a2,a3,a4,a6] |
Generators |
[18:387:1] |
Generators of the group modulo torsion |
j |
89920811116864729/7117423473600 |
j-invariant |
L |
2.3951767589929 |
L(r)(E,1)/r! |
Ω |
0.72891992203975 |
Real period |
R |
0.2738271478311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840cp2 30690bj2 51150cj2 112530br2 |
Quadratic twists by: -4 -3 5 -11 |