Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bh |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
277850433276 = 22 · 33 · 137 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 3 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3581,79369] |
[a1,a2,a3,a4,a6] |
Generators |
[158:931:8] |
Generators of the group modulo torsion |
j |
38958219/2132 |
j-invariant |
L |
15.650082506713 |
L(r)(E,1)/r! |
Ω |
0.96303923409184 |
Real period |
R |
2.0313401850965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722f1 9594e1 |
Quadratic twists by: -3 13 |