Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854s |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-51738305261094144 = -1 · 28 · 312 · 75 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-350636,80632464] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-1100:1] |
Generators of the group modulo torsion |
j |
-4767528517133620125889/51738305261094144 |
j-invariant |
L |
7.1115561227217 |
L(r)(E,1)/r! |
Ω |
0.3569593732806 |
Real period |
R |
0.013835133660706 |
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 |
62832t1 23562m1 54978bt1 86394ba1 |
Quadratic twists by: -4 -3 -7 -11 |