Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bq |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2360279040 = 216 · 3 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1345,19297] |
[a1,a2,a3,a4,a6] |
Generators |
[27:44:1] |
Generators of the group modulo torsion |
j |
4108974916/36015 |
j-invariant |
L |
3.3540441887379 |
L(r)(E,1)/r! |
Ω |
1.4609230985589 |
Real period |
R |
2.2958389747183 |
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 |
6720bd3 1680f4 20160dv3 33600gw3 |
Quadratic twists by: -4 8 -3 5 |