Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bf |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1139335168125000000 = 26 · 3 · 510 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1062478375,13329499403125] |
[a1,a2,a3,a4,a6] |
Generators |
[18849:-2225:1] |
Generators of the group modulo torsion |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
3.5505883906985 |
L(r)(E,1)/r! |
Ω |
0.1363097643133 |
Real period |
R |
2.1706614946924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000309112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ct8 1050k7 |
Quadratic twists by: 5 -11 |