Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438d |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-59171472 = -1 · 24 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 3 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,324] |
[a1,a2,a3,a4,a6] |
Generators |
[0:18:1] |
Generators of the group modulo torsion |
j |
23639903/81168 |
j-invariant |
L |
3.9244911043709 |
L(r)(E,1)/r! |
Ω |
1.400867127033 |
Real period |
R |
0.35018409567889 |
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 |
10146n1 |
Quadratic twists by: -3 |