Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120y |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-1427884252714800 = -1 · 24 · 311 · 52 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4758,-1813651] |
[a1,a2,a3,a4,a6] |
Generators |
[37954:89235:343] |
Generators of the group modulo torsion |
j |
1021291022336/122418060075 |
j-invariant |
L |
6.3143553783262 |
L(r)(E,1)/r! |
Ω |
0.22704864051028 |
Real period |
R |
6.9526460983591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48240s1 8040b1 120600g1 |
Quadratic twists by: -4 -3 5 |