Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600y |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-7814880000 = -1 · 28 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,4050] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:36:1] |
Generators of the group modulo torsion |
j |
10800/67 |
j-invariant |
L |
5.4044860253252 |
L(r)(E,1)/r! |
Ω |
0.95312809374294 |
Real period |
R |
1.417565504316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400o1 120600bv1 |
Quadratic twists by: -3 5 |