Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bm |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-8463628310151168 = -1 · 220 · 34 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14047,4374945] |
[a1,a2,a3,a4,a6] |
Generators |
[19:2156:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
6.2070695017872 |
L(r)(E,1)/r! |
Ω |
0.31077667134136 |
Real period |
R |
1.2482978289836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hl1 3234k1 14784z1 |
Quadratic twists by: -4 8 -7 |