Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bn |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1329359997951562500 = 22 · 34 · 58 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282900,-16762500] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:4800:1] |
Generators of the group modulo torsion |
j |
90458382169/48024900 |
j-invariant |
L |
4.0351808453603 |
L(r)(E,1)/r! |
Ω |
0.21986115305021 |
Real period |
R |
2.2941643091773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999081611 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410co2 11550bm2 |
Quadratic twists by: 5 -11 |