Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805z |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
88507710353125 = 55 · 78 · 173 |
Discriminant |
Eigenvalues |
0 -3 5- 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11662,173472] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:612:1] [-68:807:1] |
Generators of the group modulo torsion |
j |
6193152/3125 |
j-invariant |
L |
5.8798142933766 |
L(r)(E,1)/r! |
Ω |
0.53444960220093 |
Real period |
R |
0.36672084509363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805g1 70805a1 |
Quadratic twists by: -7 17 |