Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
27960020156250000 = 24 · 32 · 510 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79650,-3217500] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:1950:1] |
Generators of the group modulo torsion |
j |
30400540561/15210000 |
j-invariant |
L |
4.1175449107485 |
L(r)(E,1)/r! |
Ω |
0.29936600606891 |
Real period |
R |
1.7192770814352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012599 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110cn2 1950g2 |
Quadratic twists by: 5 -7 |