Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gq |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-6022998000 = -1 · 24 · 311 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,4475] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:81:1] [10:45:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
9.4865105247554 |
L(r)(E,1)/r! |
Ω |
1.2130844023574 |
Real period |
R |
0.97751962954163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300bc1 20400cp1 61200hh1 |
Quadratic twists by: -4 -3 5 |