Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382u |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.8067898595423E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1493800617758,702727065966594395] |
[a1,a2,a3,a4,a6] |
Generators |
[19028451:25292029:27] |
Generators of the group modulo torsion |
j |
-3133382230165522315000208250857964625/153574604080128 |
j-invariant |
L |
8.1321281378813 |
L(r)(E,1)/r! |
Ω |
0.035306594471716 |
Real period |
R |
5.7582218415373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626p2 |
Quadratic twists by: -7 |