Atkin-Lehner |
3+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755f |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4660110225 = 34 · 52 · 372 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-590,-4678] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:31:1] [432:8761:1] |
Generators of the group modulo torsion |
j |
22715680520161/4660110225 |
j-invariant |
L |
4.5806139751144 |
L(r)(E,1)/r! |
Ω |
0.98265376928673 |
Real period |
R |
4.6614729605509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68265f2 113775j2 |
Quadratic twists by: -3 5 |