Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852i |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7611914770992 = -1 · 24 · 37 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5880,-218491] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6174:1] |
Generators of the group modulo torsion |
j |
-16384000/5547 |
j-invariant |
L |
6.2604093646566 |
L(r)(E,1)/r! |
Ω |
0.26800909923717 |
Real period |
R |
2.9198679180194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284d1 1548b1 |
Quadratic twists by: -3 -7 |