Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bp |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
-2.2333777040408E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6258725,-6067317363] |
[a1,a2,a3,a4,a6] |
Generators |
[93237212:2104578531:29791] |
Generators of the group modulo torsion |
j |
-6619442934477749579776/54525822852558915 |
j-invariant |
L |
4.5354852224831 |
L(r)(E,1)/r! |
Ω |
0.047701776527312 |
Real period |
R |
6.7914290360213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2145h1 102960do1 |
Quadratic twists by: -4 -3 |