Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024bx |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-6317041204518912 = -1 · 213 · 311 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13312,3773568] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1688:1] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
5.0066481342587 |
L(r)(E,1)/r! |
Ω |
0.31764282238112 |
Real period |
R |
3.9404700667196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bo1 1776i1 |
Quadratic twists by: -4 -7 |