Atkin-Lehner |
3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12201f |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-1453641076799667 = -1 · 32 · 710 · 833 |
Discriminant |
Eigenvalues |
2 3+ 2 7- 1 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5602,1843323] |
[a1,a2,a3,a4,a6] |
Generators |
[378:10371:8] |
Generators of the group modulo torsion |
j |
-68841472/5146083 |
j-invariant |
L |
8.7923996545126 |
L(r)(E,1)/r! |
Ω |
0.39472402877655 |
Real period |
R |
3.7124670290805 |
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 |
36603q1 12201g1 |
Quadratic twists by: -3 -7 |