Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92046k |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
318528 |
Modular degree for the optimal curve |
Δ |
-51057612816384 = -1 · 221 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 2 -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5037,-370712] |
[a1,a2,a3,a4,a6] |
Generators |
[584138172929781198292:2007589387798495996019:5770756080980979733] |
Generators of the group modulo torsion |
j |
-50489872297/182452224 |
j-invariant |
L |
8.790532752961 |
L(r)(E,1)/r! |
Ω |
0.25978071179456 |
Real period |
R |
33.838281111157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92046o1 |
Quadratic twists by: -23 |