Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610u |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1149270727360 = -1 · 26 · 5 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -1 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2449,23029] |
[a1,a2,a3,a4,a6] |
Generators |
[41:420:1] |
Generators of the group modulo torsion |
j |
13806727199/9768640 |
j-invariant |
L |
12.243913722241 |
L(r)(E,1)/r! |
Ω |
0.55028873670516 |
Real period |
R |
1.854165050932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230h1 |
Quadratic twists by: -7 |