Atkin-Lehner |
2- 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236b |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70272 |
Modular degree for the optimal curve |
Δ |
-20060635392 = -1 · 28 · 33 · 7 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 5 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159,-6858] |
[a1,a2,a3,a4,a6] |
Generators |
[106998:14646:4913] |
Generators of the group modulo torsion |
j |
-64314864/2902291 |
j-invariant |
L |
9.2518218309571 |
L(r)(E,1)/r! |
Ω |
0.53245250701993 |
Real period |
R |
8.6879314899727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236a1 |
Quadratic twists by: -3 |