Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050f |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-13726085098849200 = -1 · 24 · 33 · 52 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-520060,144247360] |
[a1,a2,a3,a4,a6] |
j |
-23989351705/21168 |
j-invariant |
L |
1.5777791763407 |
L(r)(E,1)/r! |
Ω |
0.39444465486519 |
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 |
127050ji1 127050ge1 |
Quadratic twists by: 5 -11 |