Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200be |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-3209932800 = -1 · 212 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 1 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,3483] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-36:1] |
Generators of the group modulo torsion |
j |
-40000000/31347 |
j-invariant |
L |
7.7822074988906 |
L(r)(E,1)/r! |
Ω |
1.3008536380137 |
Real period |
R |
0.49853209632088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200d1 103200cb1 |
Quadratic twists by: -4 5 |