Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bz |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
51296194612440000 = 26 · 316 · 54 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339267,75276124] |
[a1,a2,a3,a4,a6] |
Generators |
[14888:1815210:1] |
Generators of the group modulo torsion |
j |
92563776571134016/1099455474375 |
j-invariant |
L |
6.5081228309633 |
L(r)(E,1)/r! |
Ω |
0.35702625847475 |
Real period |
R |
4.5571737847866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280co1 44640bg2 29760v1 |
Quadratic twists by: -4 8 -3 |