Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504s |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-362904074430971904 = -1 · 226 · 37 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 0 3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1394376,634877424] |
[a1,a2,a3,a4,a6] |
Generators |
[2932:147456:1] |
Generators of the group modulo torsion |
j |
-73198768224073055689/88599627546624 |
j-invariant |
L |
4.9617451413629 |
L(r)(E,1)/r! |
Ω |
0.30126202114933 |
Real period |
R |
4.1174665721268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998694572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438i1 |
Quadratic twists by: -4 |