Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024g |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-8839716965133576192 = -1 · 211 · 310 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ 0 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,516872,2450864] |
[a1,a2,a3,a4,a6] |
j |
3162334250/1830519 |
j-invariant |
L |
2.7716952546602 |
L(r)(E,1)/r! |
Ω |
0.13858476834765 |
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 |
90024w1 |
Quadratic twists by: -11 |