Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ck |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-17886960000000000 = -1 · 213 · 33 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64653,1169586] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-2730:1] |
Generators of the group modulo torsion |
j |
270250212973077/161738281250 |
j-invariant |
L |
7.4811940995822 |
L(r)(E,1)/r! |
Ω |
0.23760667284022 |
Real period |
R |
0.78714057249817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190d2 65520ca2 |
Quadratic twists by: -4 -3 |