Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
87220r |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-287317681840 = -1 · 24 · 5 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6925,-221010] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:71352:1] |
Generators of the group modulo torsion |
j |
-19513606144/152635 |
j-invariant |
L |
11.736222913597 |
L(r)(E,1)/r! |
Ω |
0.26155111017545 |
Real period |
R |
7.4786039001041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460b1 |
Quadratic twists by: -7 |