Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475l |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
463998832325 = 52 · 76 · 193 · 23 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6725,-209724] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:24:1] [-44:31:1] |
Generators of the group modulo torsion |
j |
1345428334080000/18559953293 |
j-invariant |
L |
5.2903493530731 |
L(r)(E,1)/r! |
Ω |
0.52764171626142 |
Real period |
R |
1.6710674402858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475s1 |
Quadratic twists by: 5 |