Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438h |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
75044219364 = 22 · 38 · 192 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1143,-6615] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:93:1] |
Generators of the group modulo torsion |
j |
226646274673/102941316 |
j-invariant |
L |
2.8210376495798 |
L(r)(E,1)/r! |
Ω |
0.85701308640911 |
Real period |
R |
1.6458544766217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10146s2 |
Quadratic twists by: -3 |