Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720l |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3082757334037056000 = 29 · 310 · 53 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1057683,410068618] |
[a1,a2,a3,a4,a6] |
Generators |
[506:2106:1] |
Generators of the group modulo torsion |
j |
350584567631475848/8259273550125 |
j-invariant |
L |
3.6116047780489 |
L(r)(E,1)/r! |
Ω |
0.25241966482624 |
Real period |
R |
1.7884921825202 |
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 |
18720j2 37440fj3 6240bf2 93600dn3 |
Quadratic twists by: -4 8 -3 5 |