Atkin-Lehner |
5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22385k |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
991409824625 = 53 · 118 · 37 |
Discriminant |
Eigenvalues |
1 -2 5- 4 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12103,-511227] |
[a1,a2,a3,a4,a6] |
Generators |
[129:215:1] |
Generators of the group modulo torsion |
j |
110661134401/559625 |
j-invariant |
L |
5.7196716609459 |
L(r)(E,1)/r! |
Ω |
0.45531587768282 |
Real period |
R |
4.1873286519638 |
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 |
111925q1 2035c1 |
Quadratic twists by: 5 -11 |