Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240j |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1650764396160000 = 210 · 310 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125643,17029942] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:4928:1] |
Generators of the group modulo torsion |
j |
293840138403364/2211350625 |
j-invariant |
L |
7.7686874967027 |
L(r)(E,1)/r! |
Ω |
0.47610580526338 |
Real period |
R |
4.0792862689632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080t2 |
Quadratic twists by: -3 |