Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bg |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1007057203200 = -1 · 212 · 32 · 52 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -7 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6088,-187088] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-2472:1] |
Generators of the group modulo torsion |
j |
-243735630385/9834543 |
j-invariant |
L |
2.972882314956 |
L(r)(E,1)/r! |
Ω |
0.26959970623157 |
Real period |
R |
0.45945931735354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999574253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725j1 123600ct1 |
Quadratic twists by: -4 5 |