Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050bt |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
1448009541000 = 23 · 35 · 53 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6378,-189969] |
[a1,a2,a3,a4,a6] |
j |
229546935711989/11584076328 |
j-invariant |
L |
3.2154256232371 |
L(r)(E,1)/r! |
Ω |
0.53590426937275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050be1 |
Quadratic twists by: 5 |