Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29820b |
Isogeny class |
Conductor |
29820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-5716494000 = -1 · 24 · 34 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-3654] |
[a1,a2,a3,a4,a6] |
Generators |
[23:99:1] |
Generators of the group modulo torsion |
j |
3364929536/357280875 |
j-invariant |
L |
3.7557728014106 |
L(r)(E,1)/r! |
Ω |
0.64045350441961 |
Real period |
R |
1.9547465327266 |
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 |
119280cc1 89460m1 |
Quadratic twists by: -4 -3 |