Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bi |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
52771425420902400 = 216 · 36 · 52 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-709256,229878000] |
[a1,a2,a3,a4,a6] |
Generators |
[-742:18630:1] |
Generators of the group modulo torsion |
j |
9633263322532297609/12883648784400 |
j-invariant |
L |
3.4734929309839 |
L(r)(E,1)/r! |
Ω |
0.35412108384954 |
Real period |
R |
2.4521929787583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730d2 |
Quadratic twists by: -4 |