Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224z |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
183680 |
Modular degree for the optimal curve |
Δ |
-85658170042368 = -1 · 211 · 35 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25088,1584660] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1764:1] |
Generators of the group modulo torsion |
j |
-852725388469250/41825278341 |
j-invariant |
L |
8.0234810782506 |
L(r)(E,1)/r! |
Ω |
0.59949814032387 |
Real period |
R |
0.095597592843171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112l1 |
Quadratic twists by: -4 |