Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405n |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
194377313671875 = 311 · 58 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 1 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15075,-236250] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:650:1] [-42:588:1] |
Generators of the group modulo torsion |
j |
185025936889/94921875 |
j-invariant |
L |
12.003827515435 |
L(r)(E,1)/r! |
Ω |
0.45528530724178 |
Real period |
R |
3.2956882540808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42135j1 126405w1 |
Quadratic twists by: -3 53 |