Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515j |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8220176397225 = 34 · 52 · 136 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5496,74151] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:399:1] |
Generators of the group modulo torsion |
j |
3803721481/1703025 |
j-invariant |
L |
4.4251769826728 |
L(r)(E,1)/r! |
Ω |
0.66175717471999 |
Real period |
R |
1.6717525525728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968066 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
435c2 |
Quadratic twists by: 13 |