Atkin-Lehner |
2+ 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544a |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-820833024 = -1 · 28 · 3 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11+ 2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,231,-363] |
[a1,a2,a3,a4,a6] |
Generators |
[220:847:125] |
Generators of the group modulo torsion |
j |
5301982208/3206379 |
j-invariant |
L |
6.5636337885946 |
L(r)(E,1)/r! |
Ω |
0.92238515708516 |
Real period |
R |
3.5579680235402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19272b1 115632h1 |
Quadratic twists by: -4 -3 |