Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bb |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-24016802940 = -1 · 22 · 39 · 5 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133,7399] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2708:1] |
Generators of the group modulo torsion |
j |
13312053/1220180 |
j-invariant |
L |
7.6279812994698 |
L(r)(E,1)/r! |
Ω |
0.91767331976532 |
Real period |
R |
2.0780764611912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22230c1 111150g1 |
Quadratic twists by: -3 5 |