Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240w |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
13910400 |
Modular degree for the optimal curve |
Δ |
-4.4758522585079E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284842136,3712853139696] |
[a1,a2,a3,a4,a6] |
Generators |
[4954054:554301938:343] |
Generators of the group modulo torsion |
j |
-623988329611290511411835929/1092737367799773234462720 |
j-invariant |
L |
2.9301927448314 |
L(r)(E,1)/r! |
Ω |
0.038972094819694 |
Real period |
R |
5.3704960624263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3030h1 96960dt1 72720bz1 121200dm1 |
Quadratic twists by: -4 8 -3 5 |