Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575m |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-362963671875 = -1 · 32 · 58 · 74 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -3 3 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5908,175219] |
[a1,a2,a3,a4,a6] |
Generators |
[634:3671:8] |
Generators of the group modulo torsion |
j |
-1459817795584/23229675 |
j-invariant |
L |
12.040997941006 |
L(r)(E,1)/r! |
Ω |
0.95764038279301 |
Real period |
R |
1.5717014128372 |
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 |
67725t1 4515c1 |
Quadratic twists by: -3 5 |