Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425b |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
240209650016015625 = 34 · 58 · 112 · 894 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32674125,-71901225000] |
[a1,a2,a3,a4,a6] |
Generators |
[-26402:13599:8] |
Generators of the group modulo torsion |
j |
246896882021526583358161/15373417601025 |
j-invariant |
L |
6.1610915105105 |
L(r)(E,1)/r! |
Ω |
0.063146395161185 |
Real period |
R |
6.0980237807821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004502 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14685g3 |
Quadratic twists by: 5 |