Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515i |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.0322283732927E+28 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1590281976,23425976009331] |
[a1,a2,a3,a4,a6] |
Generators |
[4941:3958467:1] |
Generators of the group modulo torsion |
j |
92148020139329101671876361/4210293743325439453125 |
j-invariant |
L |
3.9222636926002 |
L(r)(E,1)/r! |
Ω |
0.037999304899384 |
Real period |
R |
2.150403202123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5655h3 |
Quadratic twists by: 13 |