Atkin-Lehner |
2+ 3- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810v |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
102220185600 = 214 · 35 · 52 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5413,-152944] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:44:1] |
Generators of the group modulo torsion |
j |
17535673680899401/102220185600 |
j-invariant |
L |
5.313349442375 |
L(r)(E,1)/r! |
Ω |
0.556803709894 |
Real period |
R |
1.9085179742738 |
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 |
92430bk1 |
Quadratic twists by: -3 |