Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7242m |
Isogeny class |
Conductor |
7242 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2869736124576 = -1 · 25 · 3 · 174 · 713 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -1 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15075,715809] |
[a1,a2,a3,a4,a6] |
Generators |
[386:7049:1] |
Generators of the group modulo torsion |
j |
-378876331049050801/2869736124576 |
j-invariant |
L |
7.0382064225208 |
L(r)(E,1)/r! |
Ω |
0.80854938267108 |
Real period |
R |
0.14507888187092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57936n1 21726i1 123114m1 |
Quadratic twists by: -4 -3 17 |