Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dx |
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 |
[297318647651:35288601627084:19902511] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
6.3338574321192 |
L(r)(E,1)/r! |
Ω |
0.04076163031035 |
Real period |
R |
19.423466946411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ft1 3822z1 122304g1 |
Quadratic twists by: -4 8 -7 |