Atkin-Lehner |
2+ 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672q |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
694289232 = 24 · 34 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-299,1638] |
[a1,a2,a3,a4,a6] |
Generators |
[18:42:1] |
Generators of the group modulo torsion |
j |
185382602752/43393077 |
j-invariant |
L |
6.2114891125164 |
L(r)(E,1)/r! |
Ω |
1.5143091467201 |
Real period |
R |
2.0509315853906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000312981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336f1 |
Quadratic twists by: -4 |