Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200o |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-873925200000000 = -1 · 210 · 310 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 0 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112208,-14499588] |
[a1,a2,a3,a4,a6] |
Generators |
[4186:66825:8] |
Generators of the group modulo torsion |
j |
-390606131140/2184813 |
j-invariant |
L |
4.8005255607948 |
L(r)(E,1)/r! |
Ω |
0.13038212159682 |
Real period |
R |
3.0682411962122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400r1 66600w1 22200j1 |
Quadratic twists by: -4 -3 5 |