Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671u |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63168 |
Modular degree for the optimal curve |
Δ |
19150974456453 = 37 · 710 · 31 |
Discriminant |
Eigenvalues |
-2 3- 4 7- -3 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7203,-105044] |
[a1,a2,a3,a4,a6] |
j |
200704/93 |
j-invariant |
L |
1.08361290468 |
L(r)(E,1)/r! |
Ω |
0.54180645233999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557g1 13671g1 |
Quadratic twists by: -3 -7 |