Atkin-Lehner |
2+ 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370k |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-2202231606250 = -1 · 2 · 55 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3207,-14194] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-443:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
2.5902866234355 |
L(r)(E,1)/r! |
Ω |
0.47806243976283 |
Real period |
R |
0.54183018285424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000123196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730h1 |
Quadratic twists by: 13 |