Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cn |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-44202833805312 = -1 · 216 · 32 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,719487] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:588:1] |
Generators of the group modulo torsion |
j |
-834148/117 |
j-invariant |
L |
11.047450616525 |
L(r)(E,1)/r! |
Ω |
0.61966072079668 |
Real period |
R |
1.4856853920724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304er1 15288b1 122304z1 |
Quadratic twists by: -4 8 -7 |