Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098w |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
2980478592 = 27 · 39 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1323,18225] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-27:1] |
Generators of the group modulo torsion |
j |
1515434103625/17635968 |
j-invariant |
L |
7.1288200893885 |
L(r)(E,1)/r! |
Ω |
1.4312875731341 |
Real period |
R |
0.079058797518207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784bv1 21294p1 49686bx1 7098n1 |
Quadratic twists by: -4 -3 -7 13 |