Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ca |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1459200000000 = 216 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12408,-524688] |
[a1,a2,a3,a4,a6] |
Generators |
[508:11136:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
3.8642272151746 |
L(r)(E,1)/r! |
Ω |
0.45253476442533 |
Real period |
R |
4.2695363085328 |
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 |
2850i1 91200hk1 68400fa1 4560x1 |
Quadratic twists by: -4 8 -3 5 |