Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bv |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4788480 |
Modular degree for the optimal curve |
Δ |
-2.8813777632872E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9000321,27841770945] |
[a1,a2,a3,a4,a6] |
Generators |
[925729:890683272:1] |
Generators of the group modulo torsion |
j |
-2460638542909233980168/8793267099875634375 |
j-invariant |
L |
4.1538508692289 |
L(r)(E,1)/r! |
Ω |
0.08525653453128 |
Real period |
R |
12.180447199924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360cs1 19680bf1 118080fo1 |
Quadratic twists by: -4 8 -3 |