Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cb |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3347020519833600 = 218 · 312 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61707,5202106] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:3150:1] |
Generators of the group modulo torsion |
j |
8702409880009/1120910400 |
j-invariant |
L |
5.7197791698009 |
L(r)(E,1)/r! |
Ω |
0.43039387915304 |
Real period |
R |
3.3224096849708 |
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 |
2790z2 89280eo2 7440u2 111600eu2 |
Quadratic twists by: -4 8 -3 5 |