Atkin-Lehner |
7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7973b |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-790339571 = -1 · 74 · 173 · 67 |
Discriminant |
Eigenvalues |
2 3 -2 7+ -3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,29,1351] |
[a1,a2,a3,a4,a6] |
Generators |
[-858:7291:216] |
Generators of the group modulo torsion |
j |
2697228288/790339571 |
j-invariant |
L |
11.122818723947 |
L(r)(E,1)/r! |
Ω |
1.2341995339192 |
Real period |
R |
4.5060860980181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568bf1 71757i1 55811l1 |
Quadratic twists by: -4 -3 -7 |