Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230n |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2405529140625000 = 23 · 38 · 510 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33795,-378675] |
[a1,a2,a3,a4,a6] |
Generators |
[261:2790:1] |
Generators of the group modulo torsion |
j |
5855456577737521/3299765625000 |
j-invariant |
L |
3.5964315062563 |
L(r)(E,1)/r! |
Ω |
0.37915074217948 |
Real period |
R |
4.7427462301444 |
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 |
7410x2 111150dx2 |
Quadratic twists by: -3 5 |