Atkin-Lehner |
2- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27140d |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-32025200 = -1 · 24 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -2 3 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30,-275] |
[a1,a2,a3,a4,a6] |
Generators |
[90:295:8] |
Generators of the group modulo torsion |
j |
180472064/2001575 |
j-invariant |
L |
5.2777079739579 |
L(r)(E,1)/r! |
Ω |
1.0240263041814 |
Real period |
R |
1.2884698255326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560s1 |
Quadratic twists by: -4 |