Atkin-Lehner |
7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6307f |
Isogeny class |
Conductor |
6307 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4200 |
Modular degree for the optimal curve |
Δ |
-742012243 = -1 · 77 · 17 · 53 |
Discriminant |
Eigenvalues |
2 2 -2 7+ -2 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,216,409] |
[a1,a2,a3,a4,a6] |
Generators |
[15562:686201:8] |
Generators of the group modulo torsion |
j |
1109360734208/742012243 |
j-invariant |
L |
9.0143828372478 |
L(r)(E,1)/r! |
Ω |
1.0057430173042 |
Real period |
R |
8.9629086975018 |
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 |
100912bh1 56763h1 44149e1 107219l1 |
Quadratic twists by: -4 -3 -7 17 |