Atkin-Lehner |
2- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40300n |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
324636101920000 = 28 · 54 · 133 · 314 |
Discriminant |
Eigenvalues |
2- 3 5- 4 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17200,-48700] |
[a1,a2,a3,a4,a6] |
j |
3517135257600/2028975637 |
j-invariant |
L |
8.1833192011611 |
L(r)(E,1)/r! |
Ω |
0.45462884450402 |
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 |
40300b1 |
Quadratic twists by: 5 |