Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050l |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-98477990177674800 = -1 · 24 · 3 · 52 · 714 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -5 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-241045,-48088355] |
[a1,a2,a3,a4,a6] |
j |
-512030145192547465/32554707496752 |
j-invariant |
L |
0.4293492793374 |
L(r)(E,1)/r! |
Ω |
0.10733737401168 |
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 |
127050jn1 127050gi1 |
Quadratic twists by: 5 -11 |