Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675p |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
43429025390625 = 33 · 59 · 77 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -6 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22076,-1223827] |
[a1,a2,a3,a4,a6] |
j |
5177717/189 |
j-invariant |
L |
2.3553042274658 |
L(r)(E,1)/r! |
Ω |
0.39255070457763 |
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 |
58800ho1 11025bn1 3675h1 525c1 |
Quadratic twists by: -4 -3 5 -7 |