Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200ba |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-4417740000000 = -1 · 28 · 37 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 -4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4092,10188] |
[a1,a2,a3,a4,a6] |
Generators |
[3:150:1] [18:300:1] |
Generators of the group modulo torsion |
j |
1893932336/1104435 |
j-invariant |
L |
13.711873514688 |
L(r)(E,1)/r! |
Ω |
0.46873776209398 |
Real period |
R |
0.52237072407207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600a1 24240a1 |
Quadratic twists by: -4 5 |