Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760br |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2534604800 = -1 · 216 · 52 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9560,362992] |
[a1,a2,a3,a4,a6] |
Generators |
[44:160:1] |
Generators of the group modulo torsion |
j |
-23592983745241/618800 |
j-invariant |
L |
5.8961892841419 |
L(r)(E,1)/r! |
Ω |
1.3413951684015 |
Real period |
R |
0.54944559575504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999060066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470e1 |
Quadratic twists by: -4 |