Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670q |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-173847656250 = -1 · 2 · 32 · 510 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-696,20979] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:9365:64] |
Generators of the group modulo torsion |
j |
-37289832236929/173847656250 |
j-invariant |
L |
6.9738581685992 |
L(r)(E,1)/r! |
Ω |
0.88277553302286 |
Real period |
R |
1.9749805889836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010x1 |
Quadratic twists by: -3 |