Atkin-Lehner |
3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7353a |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39818175256089 = -1 · 39 · 196 · 43 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2334,299897] |
[a1,a2,a3,a4,a6] |
Generators |
[-892276:8560483:21952] |
Generators of the group modulo torsion |
j |
71421719949/2022972883 |
j-invariant |
L |
5.5057575318625 |
L(r)(E,1)/r! |
Ω |
0.48597196114568 |
Real period |
R |
11.329372828183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648r2 7353b2 |
Quadratic twists by: -4 -3 |