Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cb |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-372278555504640000 = -1 · 215 · 39 · 54 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93813,27192634] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:2480:1] |
Generators of the group modulo torsion |
j |
30579142915511/124675335000 |
j-invariant |
L |
5.7197791698009 |
L(r)(E,1)/r! |
Ω |
0.21519693957652 |
Real period |
R |
1.6612048424854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2790z4 89280eo3 7440u4 111600eu3 |
Quadratic twists by: -4 8 -3 5 |