Atkin-Lehner |
2+ 3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320m |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-32183040 = -1 · 28 · 3 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,75] |
[a1,a2,a3,a4,a6] |
Generators |
[138:663:8] |
Generators of the group modulo torsion |
j |
210308096/125715 |
j-invariant |
L |
7.8865640124179 |
L(r)(E,1)/r! |
Ω |
1.2717794569507 |
Real period |
R |
3.1006020619908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59160a1 |
Quadratic twists by: -4 |