Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434s |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-1225198427630112 = -1 · 25 · 39 · 137 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1037748,406815408] |
[a1,a2,a3,a4,a6] |
Generators |
[222:13578:1] |
Generators of the group modulo torsion |
j |
-25605858405543625/253831968 |
j-invariant |
L |
11.080247720862 |
L(r)(E,1)/r! |
Ω |
0.43874093997585 |
Real period |
R |
0.14030359643655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302n1 2418b1 |
Quadratic twists by: -3 13 |