Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30624k |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-129355776 = -1 · 212 · 32 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[9:36:1] |
Generators of the group modulo torsion |
j |
36594368/31581 |
j-invariant |
L |
4.1297619251027 |
L(r)(E,1)/r! |
Ω |
1.0204092151987 |
Real period |
R |
1.0117906286006 |
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 |
30624g2 61248v1 91872j2 |
Quadratic twists by: -4 8 -3 |