Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460g |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-433477068750000 = -1 · 24 · 38 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17599,-436776] |
[a1,a2,a3,a4,a6] |
Generators |
[55:837:1] |
Generators of the group modulo torsion |
j |
37674112116310016/27092316796875 |
j-invariant |
L |
5.9619290629372 |
L(r)(E,1)/r! |
Ω |
0.29776746862249 |
Real period |
R |
0.8342540308547 |
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 |
81840bv1 61380t1 102300b1 |
Quadratic twists by: -4 -3 5 |