Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658f |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
11416381666494 = 2 · 3 · 7 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 2 -3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7434,-188706] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:281:8] [125:862:1] |
Generators of the group modulo torsion |
j |
7189057/1806 |
j-invariant |
L |
5.2785169594927 |
L(r)(E,1)/r! |
Ω |
0.52363169040846 |
Real period |
R |
2.520147775707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806m1 |
Quadratic twists by: -43 |