Atkin-Lehner |
5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6475g |
Isogeny class |
Conductor |
6475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-58695875 = -1 · 53 · 73 · 372 |
Discriminant |
Eigenvalues |
0 -3 5- 7- -3 -5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40,381] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] [5:17:1] |
Generators of the group modulo torsion |
j |
-56623104/469567 |
j-invariant |
L |
3.0257282649731 |
L(r)(E,1)/r! |
Ω |
1.6940319090682 |
Real period |
R |
0.14884254584077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600ca1 58275bi1 6475e1 45325s1 |
Quadratic twists by: -4 -3 5 -7 |