Atkin-Lehner |
2+ 3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728b |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6316411891968 = 28 · 36 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19101716,-32127034272] |
[a1,a2,a3,a4,a6] |
Generators |
[42037399885570131365803977780077808180968:3028457365237268990167824807688256833021320:5217602616072948750405647105124331759] |
Generators of the group modulo torsion |
j |
3010931816611421811567184/24673483953 |
j-invariant |
L |
8.8218117934807 |
L(r)(E,1)/r! |
Ω |
0.072215671987599 |
Real period |
R |
61.079621297408 |
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 |
33864k2 |
Quadratic twists by: -4 |