Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240v |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7984742400 = 215 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1025,12225] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:152:1] |
Generators of the group modulo torsion |
j |
3638052872/243675 |
j-invariant |
L |
4.2159793793196 |
L(r)(E,1)/r! |
Ω |
1.2889651737188 |
Real period |
R |
0.81770622381444 |
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 |
18240bk2 9120p2 54720bh2 91200ds2 |
Quadratic twists by: -4 8 -3 5 |