Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920v |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1826668800 = 28 · 33 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2516,49380] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:310:1] |
Generators of the group modulo torsion |
j |
6883166242384/7135425 |
j-invariant |
L |
4.9360307997986 |
L(r)(E,1)/r! |
Ω |
1.4783060683568 |
Real period |
R |
0.83474439181737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840p1 122760s1 |
Quadratic twists by: -4 -3 |