Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cs |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2972129062500 = 22 · 32 · 57 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888088,-322204708] |
[a1,a2,a3,a4,a6] |
Generators |
[2212:91294:1] |
Generators of the group modulo torsion |
j |
4957602728795861689/190216260 |
j-invariant |
L |
14.844261933989 |
L(r)(E,1)/r! |
Ω |
0.15551975115404 |
Real period |
R |
5.9655854895349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430e3 |
Quadratic twists by: 5 |