Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-810276570180000 = -1 · 25 · 33 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74176,7889198] |
[a1,a2,a3,a4,a6] |
j |
-336886825/6048 |
j-invariant |
L |
1.5096269840437 |
L(r)(E,1)/r! |
Ω |
0.50320881018166 |
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 |
127050gd1 127050jh1 |
Quadratic twists by: 5 -11 |