Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320v |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.54954653696E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53700597,-113697016902] |
[a1,a2,a3,a4,a6] |
Generators |
[12381267727293153:3128709332880000000:196426902797] |
Generators of the group modulo torsion |
j |
212427047662836354837/192200000000000000 |
j-invariant |
L |
5.2687126955668 |
L(r)(E,1)/r! |
Ω |
0.038341370576554 |
Real period |
R |
17.17698342658 |
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 |
2790n2 89280ds2 22320bb2 111600ct2 |
Quadratic twists by: -4 8 -3 5 |