Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9300f |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1116000000 = 28 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4108,102712] |
[a1,a2,a3,a4,a6] |
Generators |
[22:150:1] |
Generators of the group modulo torsion |
j |
1917170512/279 |
j-invariant |
L |
3.012346323645 |
L(r)(E,1)/r! |
Ω |
1.4941318830755 |
Real period |
R |
0.33601968226131 |
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 |
37200cw2 27900o2 372b2 |
Quadratic twists by: -4 -3 5 |