Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bf |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2911168596000000000 = 211 · 3 · 59 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137207008,-618558019988] |
[a1,a2,a3,a4,a6] |
Generators |
[-339745658967:-1260384650:50243409] |
Generators of the group modulo torsion |
j |
8926940065948851950642/90974018625 |
j-invariant |
L |
7.3534088728325 |
L(r)(E,1)/r! |
Ω |
0.044111871249608 |
Real period |
R |
13.891590907053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000208354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360n4 |
Quadratic twists by: 5 |