Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360by |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
2418278400 = 218 · 32 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,1825] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:60:1] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
5.9050459933627 |
L(r)(E,1)/r! |
Ω |
1.3229040834485 |
Real period |
R |
1.1159248178387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360be1 9840w1 118080es1 |
Quadratic twists by: -4 8 -3 |