Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240w |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-580319824218750000 = -1 · 24 · 32 · 516 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50975,-36901248] |
[a1,a2,a3,a4,a6] |
j |
-915553975060166656/36269989013671875 |
j-invariant |
L |
2.0309803912287 |
L(r)(E,1)/r! |
Ω |
0.1269362744518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480bc1 73920da1 27720l1 46200bf1 |
Quadratic twists by: -4 8 -3 5 |