Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960x |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.5848252413964E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34185760,76941092992] |
[a1,a2,a3,a4,a6] |
Generators |
[5189106:212645350:2197] |
Generators of the group modulo torsion |
j |
1078697059648930939019041/63106084995030150 |
j-invariant |
L |
4.022178315645 |
L(r)(E,1)/r! |
Ω |
0.16549413468688 |
Real period |
R |
12.152026787098 |
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 |
870i4 27840dp4 20880by4 34800cy4 |
Quadratic twists by: -4 8 -3 5 |