Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462j |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-6404775888 = -1 · 24 · 3 · 73 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1026,12804] |
[a1,a2,a3,a4,a6] |
Generators |
[104:970:1] |
Generators of the group modulo torsion |
j |
-348765000319/18672816 |
j-invariant |
L |
2.3189443545712 |
L(r)(E,1)/r! |
Ω |
1.3213087460218 |
Real period |
R |
0.14625299610159 |
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 |
64386cf1 21462o1 |
Quadratic twists by: -3 -7 |