Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320k |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
363174969600 = 28 · 310 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3423,71422] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:360:1] |
Generators of the group modulo torsion |
j |
23767139536/1946025 |
j-invariant |
L |
3.1134382699853 |
L(r)(E,1)/r! |
Ω |
0.9332390715024 |
Real period |
R |
1.6680818265426 |
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 |
11160m2 89280gc2 7440h2 111600bs2 |
Quadratic twists by: -4 8 -3 5 |