Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7548a |
Isogeny class |
Conductor |
7548 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1449216 = -1 · 28 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -5 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] [2:6:1] |
Generators of the group modulo torsion |
j |
9148592/5661 |
j-invariant |
L |
3.9979270714716 |
L(r)(E,1)/r! |
Ω |
1.5545329140809 |
Real period |
R |
0.42863111648732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192w1 120768bj1 22644g1 128316i1 |
Quadratic twists by: -4 8 -3 17 |