Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2964c |
Isogeny class |
Conductor |
2964 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-101273193216 = -1 · 28 · 36 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 3 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266477,-52857831] |
[a1,a2,a3,a4,a6] |
Generators |
[683:9126:1] |
Generators of the group modulo torsion |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
2.2078671233203 |
L(r)(E,1)/r! |
Ω |
0.10506413500994 |
Real period |
R |
1.7512058413269 |
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 |
11856bg1 47424bw1 8892l1 74100be1 |
Quadratic twists by: -4 8 -3 5 |