Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378s |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-113674085504 = -1 · 27 · 73 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- -4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18981,-1001891] |
[a1,a2,a3,a4,a6] |
j |
-756239798263546017/113674085504 |
j-invariant |
L |
8.5415551275732 |
L(r)(E,1)/r! |
Ω |
0.20337036018031 |
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 |
59024i1 66402o1 51646bg1 125426m1 |
Quadratic twists by: -4 -3 -7 17 |