Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024el |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1593585486673507152 = 24 · 34 · 716 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-323465,-36509586] |
[a1,a2,a3,a4,a6] |
Generators |
[3418:196980:1] |
Generators of the group modulo torsion |
j |
1988376942198784/846578321253 |
j-invariant |
L |
4.5346652423263 |
L(r)(E,1)/r! |
Ω |
0.20800184224855 |
Real period |
R |
5.4502705309862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756j1 12432bm1 |
Quadratic twists by: -4 -7 |