Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575g |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8294432400031640625 = 314 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2403338,-1428361594] |
[a1,a2,a3,a4,a6] |
Generators |
[1864:22997:1] |
Generators of the group modulo torsion |
j |
98253551457664019929/530843673602025 |
j-invariant |
L |
2.2232710098669 |
L(r)(E,1)/r! |
Ω |
0.12129338284399 |
Real period |
R |
4.5824243617778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67725z2 4515f2 |
Quadratic twists by: -3 5 |