Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315k |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
244535195025 = 310 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6120,184275] |
[a1,a2,a3,a4,a6] |
Generators |
[58:119:1] |
Generators of the group modulo torsion |
j |
34776859950721/335439225 |
j-invariant |
L |
3.9248322029834 |
L(r)(E,1)/r! |
Ω |
0.9920989371424 |
Real period |
R |
1.9780447574555 |
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 |
6105l2 91575v2 |
Quadratic twists by: -3 5 |