Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bh |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1518796800 = -1 · 216 · 32 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -6 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11048,450672] |
[a1,a2,a3,a4,a6] |
Generators |
[68:96:1] |
Generators of the group modulo torsion |
j |
-1456511980945/14832 |
j-invariant |
L |
5.4305722796938 |
L(r)(E,1)/r! |
Ω |
1.3638693984655 |
Real period |
R |
0.49771740213186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450n1 123600cw1 |
Quadratic twists by: -4 5 |