Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098x |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-176861231129296896 = -1 · 227 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4403552,-3557170176] |
[a1,a2,a3,a4,a6] |
Generators |
[3264:128160:1] |
Generators of the group modulo torsion |
j |
-1956469094246217097/36641439744 |
j-invariant |
L |
5.860465455915 |
L(r)(E,1)/r! |
Ω |
0.052109665839771 |
Real period |
R |
1.0413340435362 |
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 |
56784cc3 21294t3 49686cj3 546d3 |
Quadratic twists by: -4 -3 -7 13 |