Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bp |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
15275520 |
Modular degree for the optimal curve |
Δ |
3.7813475804065E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151241076,651894237298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1132:907014:1] |
Generators of the group modulo torsion |
j |
8259098703305/816293376 |
j-invariant |
L |
5.5301515514512 |
L(r)(E,1)/r! |
Ω |
0.063046879513315 |
Real period |
R |
3.3736505000123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350by1 43350t1 |
Quadratic twists by: 5 17 |