Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fi |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
3776530142601562500 = 22 · 32 · 59 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1274638,-546478969] |
[a1,a2,a3,a4,a6] |
Generators |
[13030:323481:8] |
Generators of the group modulo torsion |
j |
2905841483/47916 |
j-invariant |
L |
7.7754466286003 |
L(r)(E,1)/r! |
Ω |
0.14222864520436 |
Real period |
R |
4.5557200129509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850dg1 80850hj1 |
Quadratic twists by: 5 -7 |