Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
523776 |
Modular degree for the optimal curve |
Δ |
-30385371381750 = -1 · 2 · 34 · 53 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50883,-4446969] |
[a1,a2,a3,a4,a6] |
Generators |
[2117857060:49335697709:3241792] |
Generators of the group modulo torsion |
j |
-543739493/1134 |
j-invariant |
L |
9.3796334889377 |
L(r)(E,1)/r! |
Ω |
0.15891762434501 |
Real period |
R |
14.755495828626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050du1 127050bs1 |
Quadratic twists by: 5 -11 |