Atkin-Lehner |
5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7525d |
Isogeny class |
Conductor |
7525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2960 |
Modular degree for the optimal curve |
Δ |
-4115234375 = -1 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-180,-3178] |
[a1,a2,a3,a4,a6] |
j |
-328509/2107 |
j-invariant |
L |
0.58123002781779 |
L(r)(E,1)/r! |
Ω |
0.58123002781779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400bx1 67725bi1 7525c1 52675r1 |
Quadratic twists by: -4 -3 5 -7 |