Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736x |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
216677958903447552 = 214 · 39 · 74 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1363932,612699120] |
[a1,a2,a3,a4,a6] |
Generators |
[-582:34776:1] |
Generators of the group modulo torsion |
j |
870143011569648/671898241 |
j-invariant |
L |
4.3761132451993 |
L(r)(E,1)/r! |
Ω |
0.31292721644187 |
Real period |
R |
0.43701388559257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cz2 5796d2 92736q2 |
Quadratic twists by: -4 8 -3 |