Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bs |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5045760000000 = -1 · 215 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 6 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38008,-2841488] |
[a1,a2,a3,a4,a6] |
Generators |
[5322:387950:1] |
Generators of the group modulo torsion |
j |
-94881210481/78840 |
j-invariant |
L |
4.3065872771666 |
L(r)(E,1)/r! |
Ω |
0.17095358460759 |
Real period |
R |
6.2978896845867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950n1 17520w1 |
Quadratic twists by: -4 5 |