Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050g |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1400406084000000 = -1 · 28 · 310 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28800,2592000] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-900:1] [-144:2016:1] |
Generators of the group modulo torsion |
j |
-1397395501513/740710656 |
j-invariant |
L |
7.6697690150419 |
L(r)(E,1)/r! |
Ω |
0.44656381493304 |
Real period |
R |
2.1468849364564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999940964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082bb1 127050gf1 |
Quadratic twists by: 5 -11 |