Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600v |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-1556718750000 = -1 · 24 · 35 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 1 4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187083,-31083588] |
[a1,a2,a3,a4,a6] |
Generators |
[23464350361:5762536832463:389017] |
Generators of the group modulo torsion |
j |
-4634565068800/9963 |
j-invariant |
L |
4.418019428747 |
L(r)(E,1)/r! |
Ω |
0.11477854846214 |
Real period |
R |
19.245841178259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200z1 73800l1 24600t1 |
Quadratic twists by: -4 -3 5 |