Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480bv |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
73064303769600 = 211 · 310 · 52 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232003227,1360157348054] |
[a1,a2,a3,a4,a6] |
Generators |
[8798:650:1] [9578:129220:1] |
Generators of the group modulo torsion |
j |
925014005732729613959858/48938175 |
j-invariant |
L |
9.4734081099595 |
L(r)(E,1)/r! |
Ω |
0.23074000915171 |
Real period |
R |
6.8427723369897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bj4 17160c3 |
Quadratic twists by: -4 -3 |