Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275k |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
36692578125 = 33 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 1 4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1763,-27108] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:-26:1] |
Generators of the group modulo torsion |
j |
1551443665/93933 |
j-invariant |
L |
4.835283241864 |
L(r)(E,1)/r! |
Ω |
0.73956623509366 |
Real period |
R |
0.36322216188822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825s1 37275d1 |
Quadratic twists by: -3 5 |