Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bv |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
3867894890076672 = 29 · 33 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3824840,2880129035] |
[a1,a2,a3,a4,a6] |
Generators |
[-1563:71761:1] |
Generators of the group modulo torsion |
j |
280965399667875/175616 |
j-invariant |
L |
8.4578579133333 |
L(r)(E,1)/r! |
Ω |
0.36413537403921 |
Real period |
R |
1.2904019457736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21294j2 21294c1 |
Quadratic twists by: -3 13 |