Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110124d |
Isogeny class |
Conductor |
110124 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-4042431792 = -1 · 24 · 33 · 72 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,396,397] |
[a1,a2,a3,a4,a6] |
Generators |
[11:78:1] |
Generators of the group modulo torsion |
j |
15897378816/9357481 |
j-invariant |
L |
9.2520138000094 |
L(r)(E,1)/r! |
Ω |
0.8445381037808 |
Real period |
R |
2.7387792585123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110124c1 |
Quadratic twists by: -3 |