Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990w |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-81456374780000 = -1 · 25 · 54 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ -5 11- -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,582,-434343] |
[a1,a2,a3,a4,a6] |
Generators |
[333:-6217:1] |
Generators of the group modulo torsion |
j |
101871/380000 |
j-invariant |
L |
2.5968422545738 |
L(r)(E,1)/r! |
Ω |
0.28199601728124 |
Real period |
R |
0.30695968446769 |
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 |
114950s1 22990i1 |
Quadratic twists by: 5 -11 |