Atkin-Lehner |
3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477j |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-11962524104390979 = -1 · 35 · 77 · 173 · 233 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -2 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2449,5263040] |
[a1,a2,a3,a4,a6] |
Generators |
[440:9359:1] [-43:2275:1] |
Generators of the group modulo torsion |
j |
13806727199/101679777171 |
j-invariant |
L |
5.206617402866 |
L(r)(E,1)/r! |
Ω |
0.31630970297998 |
Real period |
R |
0.45723624608482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8211f1 |
Quadratic twists by: -7 |