Atkin-Lehner |
3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203d |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216000 |
Modular degree for the optimal curve |
Δ |
2.118820765019E+23 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 0 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14928674,1553761815] |
[a1,a2,a3,a4,a6] |
Generators |
[-8303755110214678438147158610:-517486519441275738302208352945:3405338147754698436105544] |
Generators of the group modulo torsion |
j |
414588544294108393/238739377692681 |
j-invariant |
L |
6.0286908997421 |
L(r)(E,1)/r! |
Ω |
0.085178225783452 |
Real period |
R |
35.388685934862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998975955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3813c1 |
Quadratic twists by: -31 |