Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bz |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1091029766400 = 28 · 32 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37241,-2781241] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:70:1] |
Generators of the group modulo torsion |
j |
48551226272641/9273600 |
j-invariant |
L |
7.5261453849254 |
L(r)(E,1)/r! |
Ω |
0.34367594710744 |
Real period |
R |
1.3686849211208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430cn1 4830bh1 |
Quadratic twists by: -3 -7 |