Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805a |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4798080 |
Modular degree for the optimal curve |
Δ |
2.1363609656806E+21 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3370318,852269164] |
[a1,a2,a3,a4,a6] |
Generators |
[-1971783238262655548298:33114862984528083358792:1081571621700220587] |
Generators of the group modulo torsion |
j |
6193152/3125 |
j-invariant |
L |
9.232812026149 |
L(r)(E,1)/r! |
Ω |
0.12962306832022 |
Real period |
R |
35.614077593582 |
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 |
70805bf1 70805z1 |
Quadratic twists by: -7 17 |