Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bv |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
325564559550 = 2 · 35 · 52 · 232 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4753,121121] |
[a1,a2,a3,a4,a6] |
j |
474999176965945/13022582382 |
j-invariant |
L |
1.9219655072643 |
L(r)(E,1)/r! |
Ω |
0.9609829166097 |
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 |
127650bq1 |
Quadratic twists by: 5 |