Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480ba |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-46103904000000 = -1 · 211 · 35 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7160,231188] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-2100:1] |
Generators of the group modulo torsion |
j |
19818563370478/22511671875 |
j-invariant |
L |
6.2041162067009 |
L(r)(E,1)/r! |
Ω |
0.42496102751477 |
Real period |
R |
0.12166049364933 |
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 |
9240j2 73920em2 55440n2 92400q2 |
Quadratic twists by: -4 8 -3 5 |