Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800bc |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1334070000 = -1 · 24 · 37 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,1775] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:9:1] [-5:45:1] |
Generators of the group modulo torsion |
j |
-6400/183 |
j-invariant |
L |
10.573834369466 |
L(r)(E,1)/r! |
Ω |
1.2744330993712 |
Real period |
R |
0.34570385243592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600y1 109800bu1 |
Quadratic twists by: -3 5 |