Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400co |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
6653214720000000000 = 229 · 33 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9200208,10737213588] |
[a1,a2,a3,a4,a6] |
Generators |
[3042:104448:1] |
Generators of the group modulo torsion |
j |
2153062843632025/166330368 |
j-invariant |
L |
7.0848340588064 |
L(r)(E,1)/r! |
Ω |
0.22593493912138 |
Real period |
R |
2.6131542138764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050u1 56400ch1 |
Quadratic twists by: -4 5 |