Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bt |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
3080936250000 = 24 · 37 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79542,8654116] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:3833:1] [-16:3158:1] |
Generators of the group modulo torsion |
j |
4886171981209/270480 |
j-invariant |
L |
7.794097018392 |
L(r)(E,1)/r! |
Ω |
0.7560204248909 |
Real period |
R |
1.2886717014859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bs1 14490bt1 |
Quadratic twists by: -3 5 |