Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2070s |
Isogeny class |
Conductor |
2070 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-1545246720000 = -1 · 214 · 38 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1543,54681] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-756:1] |
Generators of the group modulo torsion |
j |
557644990391/2119680000 |
j-invariant |
L |
4.2274165871057 |
L(r)(E,1)/r! |
Ω |
0.60273629391601 |
Real period |
R |
0.12524479224926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560bv1 66240bz1 690a1 10350k1 |
Quadratic twists by: -4 8 -3 5 |