Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960b |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-137047293158400 = -1 · 210 · 32 · 52 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40456,-3168800] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:34710:1] |
Generators of the group modulo torsion |
j |
-7151272254745636/133835247225 |
j-invariant |
L |
3.3881248553124 |
L(r)(E,1)/r! |
Ω |
0.16812834554955 |
Real period |
R |
5.038003621932 |
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 |
3480e2 27840eh2 20880y2 34800z2 |
Quadratic twists by: -4 8 -3 5 |