Atkin-Lehner |
3+ 5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495j |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2692683984375 = 32 · 58 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15950,764660] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:508:1] [-135:760:1] |
Generators of the group modulo torsion |
j |
448753114848376801/2692683984375 |
j-invariant |
L |
5.1819071358207 |
L(r)(E,1)/r! |
Ω |
0.81294691335867 |
Real period |
R |
1.5935564335969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100485q4 |
Quadratic twists by: -3 |