Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230bd |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
242880 |
Modular degree for the optimal curve |
Δ |
-36775131285639240 = -1 · 23 · 33 · 5 · 1311 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293417,61940401] |
[a1,a2,a3,a4,a6] |
Generators |
[1105:32402:1] |
Generators of the group modulo torsion |
j |
-103469982954859638963/1362041899468120 |
j-invariant |
L |
9.271495996983 |
L(r)(E,1)/r! |
Ω |
0.36692263999781 |
Real period |
R |
0.38285239656059 |
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 |
22230e1 111150a1 |
Quadratic twists by: -3 5 |