Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230i |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-77168320312500 = -1 · 22 · 34 · 510 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16374,-911828] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2241:1] |
Generators of the group modulo torsion |
j |
-19904714311301/3164062500 |
j-invariant |
L |
4.2579006312284 |
L(r)(E,1)/r! |
Ω |
0.2091968369068 |
Real period |
R |
2.5441951550188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690bs2 126150cg2 25230r2 |
Quadratic twists by: -3 5 29 |