Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576w |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-7097912527159296 = -1 · 218 · 316 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -1 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98427,12557738] |
[a1,a2,a3,a4,a6] |
Generators |
[1442:6561:8] |
Generators of the group modulo torsion |
j |
-35316607651129/2377076544 |
j-invariant |
L |
9.2999414003799 |
L(r)(E,1)/r! |
Ω |
0.41255147684006 |
Real period |
R |
2.8178124193358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322n1 30192s1 |
Quadratic twists by: -4 -3 |