Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37905p |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-8528625 = -1 · 33 · 53 · 7 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,-139] |
[a1,a2,a3,a4,a6] |
j |
463391/23625 |
j-invariant |
L |
3.335189363925 |
L(r)(E,1)/r! |
Ω |
1.1117297879951 |
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 |
113715bm1 37905c1 |
Quadratic twists by: -3 -19 |