Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
784j |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12089663946752 = 221 · 78 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2140728,-1206278060] |
[a1,a2,a3,a4,a6] |
Generators |
[100812:5590214:27] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
1.7509775464191 |
L(r)(E,1)/r! |
Ω |
0.12481281137932 |
Real period |
R |
7.0144143340292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98a6 3136y6 7056bp6 19600cp6 |
Quadratic twists by: -4 8 -3 5 |