Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630j |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1605632 |
Modular degree for the optimal curve |
Δ |
2.559346816761E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1596543,-102886587] |
[a1,a2,a3,a4,a6] |
Generators |
[46238:9915865:1] |
Generators of the group modulo torsion |
j |
11152792880187967/6342300000000 |
j-invariant |
L |
2.7192075545678 |
L(r)(E,1)/r! |
Ω |
0.14513006314166 |
Real period |
R |
9.368174641783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fu1 42630bv1 |
Quadratic twists by: -3 -7 |