Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920c |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
175776685286400 = 210 · 310 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15136,-321860] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:85120:1] |
Generators of the group modulo torsion |
j |
374529305411716/171656919225 |
j-invariant |
L |
5.1767797151848 |
L(r)(E,1)/r! |
Ω |
0.44959892202983 |
Real period |
R |
5.7571086823496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840y2 122760cf2 |
Quadratic twists by: -4 -3 |