Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14800x |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-24248320000000 = -1 · 223 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4992,192512] |
[a1,a2,a3,a4,a6] |
Generators |
[2:450:1] |
Generators of the group modulo torsion |
j |
214921799/378880 |
j-invariant |
L |
6.8853732013998 |
L(r)(E,1)/r! |
Ω |
0.46179354689633 |
Real period |
R |
1.8637585041183 |
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 |
1850l1 59200cl1 2960l1 |
Quadratic twists by: -4 8 5 |