Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296j |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4816199740245696 = -1 · 26 · 310 · 11 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- -2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1101650,445434828] |
[a1,a2,a3,a4,a6] |
Generators |
[44:19926:1] |
Generators of the group modulo torsion |
j |
-2310335485704371030464/75253120941339 |
j-invariant |
L |
4.8323138252827 |
L(r)(E,1)/r! |
Ω |
0.40433446262278 |
Real period |
R |
0.59756393184156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296l1 86592db1 129888p1 |
Quadratic twists by: -4 8 -3 |