Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400bb |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
296875000000 = 26 · 512 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1675,-3000] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:150:1] [680:17700:1] |
Generators of the group modulo torsion |
j |
519718464/296875 |
j-invariant |
L |
8.2185800009864 |
L(r)(E,1)/r! |
Ω |
0.80811528613338 |
Real period |
R |
10.170058829489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400bn1 15200e2 6080s1 |
Quadratic twists by: -4 8 5 |