Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808bk |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-428232275146827008 = -1 · 28 · 1112 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95732,29316044] |
[a1,a2,a3,a4,a6] |
Generators |
[469:13310:1] |
Generators of the group modulo torsion |
j |
379009945791038000/1672782324792293 |
j-invariant |
L |
3.1808745038776 |
L(r)(E,1)/r! |
Ω |
0.21334434072803 |
Real period |
R |
1.2424649927731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23452a2 |
Quadratic twists by: -4 |