Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104bm |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
5725814943689736192 = 222 · 317 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5798235,5372694538] |
[a1,a2,a3,a4,a6] |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
0.9378200957282 |
L(r)(E,1)/r! |
Ω |
0.23445502393642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138l1 16368s1 |
Quadratic twists by: -4 -3 |