Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bj |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-111814517178 = -1 · 2 · 39 · 75 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11088,452466] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-714:1] |
Generators of the group modulo torsion |
j |
-1223745654937/907578 |
j-invariant |
L |
2.7105737447122 |
L(r)(E,1)/r! |
Ω |
1.0451164973808 |
Real period |
R |
0.12967806706263 |
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 |
7098be1 21294cf1 |
Quadratic twists by: -3 13 |