Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280d |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-30119288160000 = -1 · 28 · 3 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3436,276340] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1352:1] |
Generators of the group modulo torsion |
j |
-3631696/24375 |
j-invariant |
L |
2.7392879468297 |
L(r)(E,1)/r! |
Ω |
0.56918621875722 |
Real period |
R |
1.2031598168394 |
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 |
40560t1 60840ca1 101400di1 1560k1 |
Quadratic twists by: -4 -3 5 13 |