Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275bd |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-221262890625 = -1 · 37 · 58 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 5 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,22666] |
[a1,a2,a3,a4,a6] |
j |
-625/777 |
j-invariant |
L |
3.2112162539995 |
L(r)(E,1)/r! |
Ω |
0.80280406397193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425l1 58275t1 |
Quadratic twists by: -3 5 |