Atkin-Lehner |
3- 5- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24495h |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
23805199366875 = 33 · 54 · 234 · 712 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89218,-10261819] |
[a1,a2,a3,a4,a6] |
Generators |
[2870:14431:8] |
Generators of the group modulo torsion |
j |
78536974164640692121/23805199366875 |
j-invariant |
L |
8.5744041400701 |
L(r)(E,1)/r! |
Ω |
0.27624531209915 |
Real period |
R |
2.586591145781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73485h2 122475g2 |
Quadratic twists by: -3 5 |