Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bd |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
2971412716912640 = 216 · 5 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53843,4030738] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:1414:1] [-39:2464:1] |
Generators of the group modulo torsion |
j |
4214552938238889/725442557840 |
j-invariant |
L |
10.261849376258 |
L(r)(E,1)/r! |
Ω |
0.43009858714183 |
Real period |
R |
1.4912059820613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010a1 |
Quadratic twists by: -4 |