Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bt |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-16542296867250 = -1 · 2 · 313 · 53 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21485,-1236825] |
[a1,a2,a3,a4,a6] |
Generators |
[19060:268625:64] |
Generators of the group modulo torsion |
j |
-72521367806261/1093705578 |
j-invariant |
L |
3.1187870444587 |
L(r)(E,1)/r! |
Ω |
0.19698983050801 |
Real period |
R |
7.9161118251239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050je1 127050gw1 |
Quadratic twists by: 5 -11 |