Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
123872j |
Isogeny class |
Conductor |
123872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
-328942839232 = -1 · 26 · 77 · 792 |
Discriminant |
Eigenvalues |
2- -2 4 7- -4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2466,-55448] |
[a1,a2,a3,a4,a6] |
Generators |
[904604:11797920:4913] |
Generators of the group modulo torsion |
j |
-220348864/43687 |
j-invariant |
L |
7.1626013614485 |
L(r)(E,1)/r! |
Ω |
0.33514938276476 |
Real period |
R |
10.685684894154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123872f1 17696f1 |
Quadratic twists by: -4 -7 |