Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600x |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
14880000 = 28 · 3 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,1437] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
8780800/93 |
j-invariant |
L |
3.8213864210398 |
L(r)(E,1)/r! |
Ω |
2.2269768501151 |
Real period |
R |
0.28599207791812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200be1 55800bc1 18600j1 |
Quadratic twists by: -4 -3 5 |