Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438h |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5214256680546 = -1 · 2 · 37 · 19 · 894 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3987,-52785] |
[a1,a2,a3,a4,a6] |
Generators |
[33:321:1] |
Generators of the group modulo torsion |
j |
9613324838447/7152615474 |
j-invariant |
L |
2.8210376495798 |
L(r)(E,1)/r! |
Ω |
0.42850654320455 |
Real period |
R |
3.2917089532434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146s4 |
Quadratic twists by: -3 |