Atkin-Lehner |
2- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494t |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
381024 |
Modular degree for the optimal curve |
Δ |
-197271734448029696 = -1 · 227 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,123038,-13391505] |
[a1,a2,a3,a4,a6] |
Generators |
[185:3875:1] |
Generators of the group modulo torsion |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
4.6555015191205 |
L(r)(E,1)/r! |
Ω |
0.17356071852767 |
Real period |
R |
0.49673101048541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806e1 |
Quadratic twists by: -7 |