Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438g |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4770496853508096 = -1 · 216 · 316 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29511,2682477] |
[a1,a2,a3,a4,a6] |
Generators |
[153:3204:1] |
Generators of the group modulo torsion |
j |
3898878343727471/6543891431424 |
j-invariant |
L |
4.4924211885253 |
L(r)(E,1)/r! |
Ω |
0.29650490794512 |
Real period |
R |
1.8939067567462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146r1 |
Quadratic twists by: -3 |