Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bg |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-484212292429824 = -1 · 211 · 33 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34251,2659622] |
[a1,a2,a3,a4,a6] |
Generators |
[2114:27783:8] |
Generators of the group modulo torsion |
j |
-683064198/74431 |
j-invariant |
L |
9.2565358668303 |
L(r)(E,1)/r! |
Ω |
0.51073813615031 |
Real period |
R |
4.5309598007337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109368e1 15624q1 |
Quadratic twists by: -3 -7 |