Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ba |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-271293593917500000 = -1 · 25 · 32 · 57 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,125475,-18259875] |
[a1,a2,a3,a4,a6] |
Generators |
[495:-13110:1] |
Generators of the group modulo torsion |
j |
954990717791/1185901920 |
j-invariant |
L |
5.0758667798531 |
L(r)(E,1)/r! |
Ω |
0.16579639454257 |
Real period |
R |
1.0933950479491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410ck1 127050fm1 |
Quadratic twists by: 5 -11 |