Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992m |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-60585984688896 = -1 · 28 · 39 · 17 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9288,-146772] |
[a1,a2,a3,a4,a6] |
Generators |
[18:162:1] |
Generators of the group modulo torsion |
j |
17585676288/12023777 |
j-invariant |
L |
6.4441627016276 |
L(r)(E,1)/r! |
Ω |
0.35337343293531 |
Real period |
R |
2.2795158397028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17748b1 70992k1 |
Quadratic twists by: -4 -3 |