Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bp |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1830519000000000 = 29 · 310 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31208,-525912] |
[a1,a2,a3,a4,a6] |
j |
3361517992/1830519 |
j-invariant |
L |
3.8330084330003 |
L(r)(E,1)/r! |
Ω |
0.38330084322506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400cc2 74400ch2 |
Quadratic twists by: -4 5 |