Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905d |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1048800 |
Modular degree for the optimal curve |
Δ |
-1037642628170596875 = -1 · 3 · 55 · 73 · 199 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-70876,49568532] |
[a1,a2,a3,a4,a6] |
j |
-122023936/3215625 |
j-invariant |
L |
1.3904303237042 |
L(r)(E,1)/r! |
Ω |
0.23173838728789 |
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 |
113715bg1 37905n1 |
Quadratic twists by: -3 -19 |