Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295i |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-3.7731712883917E+20 |
Discriminant |
Eigenvalues |
-1 0 5- -2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3217407,-2409089686] |
[a1,a2,a3,a4,a6] |
Generators |
[2322:50176:1] [21726:742883:8] |
Generators of the group modulo torsion |
j |
-1435592723091129/147060546875 |
j-invariant |
L |
6.2535913006558 |
L(r)(E,1)/r! |
Ω |
0.0560378803207 |
Real period |
R |
11.159578600913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035a2 |
Quadratic twists by: 37 |