Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bo |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-157846085100000000 = -1 · 28 · 34 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132092,4936688] |
[a1,a2,a3,a4,a6] |
Generators |
[623:18150:1] |
Generators of the group modulo torsion |
j |
35969456/22275 |
j-invariant |
L |
8.4263709710841 |
L(r)(E,1)/r! |
Ω |
0.20022450510487 |
Real period |
R |
1.3151441812924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bb2 6600ba2 |
Quadratic twists by: 5 -11 |