Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024d |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-3036767348736 = -1 · 211 · 33 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3912,127404] |
[a1,a2,a3,a4,a6] |
j |
-1825346/837 |
j-invariant |
L |
0.74804590549218 |
L(r)(E,1)/r! |
Ω |
0.74804590082346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744e1 |
Quadratic twists by: -11 |