Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050iu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-82987027200000000 = -1 · 214 · 37 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2403013,1433646017] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:-17401:1] |
Generators of the group modulo torsion |
j |
-32467337778980665/1755758592 |
j-invariant |
L |
13.050270639207 |
L(r)(E,1)/r! |
Ω |
0.32292380137394 |
Real period |
R |
0.068729334289644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bg1 127050ep1 |
Quadratic twists by: 5 -11 |