Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905n |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55200 |
Modular degree for the optimal curve |
Δ |
-22055971875 = -1 · 3 · 55 · 73 · 193 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-196,-7289] |
[a1,a2,a3,a4,a6] |
Generators |
[4830:557:216] |
Generators of the group modulo torsion |
j |
-122023936/3215625 |
j-invariant |
L |
13.87021399196 |
L(r)(E,1)/r! |
Ω |
0.52332529542917 |
Real period |
R |
4.4173334485913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715bh1 37905d1 |
Quadratic twists by: -3 -19 |