Atkin-Lehner |
2- 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bt |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
122373845958672 = 24 · 36 · 76 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12605,-112651] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:102:1] |
Generators of the group modulo torsion |
j |
303803262015625/167865357968 |
j-invariant |
L |
10.906955343867 |
L(r)(E,1)/r! |
Ω |
0.4824055469458 |
Real period |
R |
1.8841262327899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318e1 |
Quadratic twists by: -3 |