Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328cd |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1713555809472 = 26 · 3 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8128,-277654] |
[a1,a2,a3,a4,a6] |
Generators |
[-2587565030:-4194989529:50653000] |
Generators of the group modulo torsion |
j |
928000593064000/26774309523 |
j-invariant |
L |
7.8824490692685 |
L(r)(E,1)/r! |
Ω |
0.50369205897236 |
Real period |
R |
15.649341569297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bn1 53664j2 |
Quadratic twists by: -4 8 |