Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304il |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14095291392 = 210 · 32 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7709,257907] |
[a1,a2,a3,a4,a6] |
Generators |
[67:216:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
6.0040622733994 |
L(r)(E,1)/r! |
Ω |
1.2240567212272 |
Real period |
R |
2.4525261643261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cb1 30576c1 2496s1 |
Quadratic twists by: -4 8 -7 |