Atkin-Lehner |
2- 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
128650h |
Isogeny class |
Conductor |
128650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-816773120000 = -1 · 214 · 54 · 312 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7388,245181] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-87:1] [-75:657:1] |
Generators of the group modulo torsion |
j |
-71355594540625/1306836992 |
j-invariant |
L |
13.919876460513 |
L(r)(E,1)/r! |
Ω |
0.89410772777876 |
Real period |
R |
0.18533875710179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128650e1 |
Quadratic twists by: 5 |