Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120j |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-2.0421053136859E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1581228,-2035040436] |
[a1,a2,a3,a4,a6] |
Generators |
[4460409:59937975:4913] |
Generators of the group modulo torsion |
j |
3345408/15625 |
j-invariant |
L |
8.4320380202011 |
L(r)(E,1)/r! |
Ω |
0.074194800123583 |
Real period |
R |
9.470607563373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bl1 87120b1 87120l1 |
Quadratic twists by: -4 -3 -11 |