Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990i |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-45980000 = -1 · 25 · 54 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 5 11- 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,325] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
101871/380000 |
j-invariant |
L |
2.6310333785655 |
L(r)(E,1)/r! |
Ω |
1.5865662538664 |
Real period |
R |
0.8291596307919 |
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 |
114950da1 22990w1 |
Quadratic twists by: 5 -11 |