Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968d |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2798240256 = -1 · 29 · 38 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1640,26244] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:162:1] [0:162:1] |
Generators of the group modulo torsion |
j |
-19456019912/111537 |
j-invariant |
L |
9.9954847602677 |
L(r)(E,1)/r! |
Ω |
1.441030506129 |
Real period |
R |
1.7340862524781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968ch1 79968t1 |
Quadratic twists by: -4 -7 |