Atkin-Lehner |
7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7973f |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46224 |
Modular degree for the optimal curve |
Δ |
206326822336397 = 79 · 17 · 673 |
Discriminant |
Eigenvalues |
2 0 -2 7+ 3 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73841,7692167] |
[a1,a2,a3,a4,a6] |
j |
44526280793221804032/206326822336397 |
j-invariant |
L |
2.2645282794538 |
L(r)(E,1)/r! |
Ω |
0.56613206986344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568bh1 71757f1 55811e1 |
Quadratic twists by: -4 -3 -7 |