Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ft |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12386304 |
Modular degree for the optimal curve |
Δ |
-5.1100908802913E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11681665,15751629601] |
[a1,a2,a3,a4,a6] |
Generators |
[2165:24576:1] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
2.8934092341635 |
L(r)(E,1)/r! |
Ω |
0.13584479015023 |
Real period |
R |
2.6624220130994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998509606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304dx1 30576df1 122304gt1 |
Quadratic twists by: -4 8 -7 |