Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080bs |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
87190732800 = 216 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,36225] |
[a1,a2,a3,a4,a6] |
Generators |
[5:160:1] |
Generators of the group modulo torsion |
j |
16662038116/1330425 |
j-invariant |
L |
5.1131509606373 |
L(r)(E,1)/r! |
Ω |
1.0517336781951 |
Real period |
R |
1.2154101048807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080z1 17520e1 |
Quadratic twists by: -4 8 |