Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810z |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
95425344000 = 29 · 33 · 53 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1078614,-431258264] |
[a1,a2,a3,a4,a6] |
Generators |
[-38380:19173:64] |
Generators of the group modulo torsion |
j |
57800172184782640249/39744000 |
j-invariant |
L |
5.2264860263179 |
L(r)(E,1)/r! |
Ω |
0.14814366670947 |
Real period |
R |
3.9199830980946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430eo2 33810u2 |
Quadratic twists by: -3 -7 |