Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630t |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3069360 = 24 · 33 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2377,-45611] |
[a1,a2,a3,a4,a6] |
Generators |
[-3570:1819:125] |
Generators of the group modulo torsion |
j |
30331970550889/62640 |
j-invariant |
L |
4.5790048086621 |
L(r)(E,1)/r! |
Ω |
0.68370463751315 |
Real period |
R |
3.3486717490507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fj1 42630bf1 |
Quadratic twists by: -3 -7 |