Atkin-Lehner |
3+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469k |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5933311898031 = -1 · 32 · 79 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4434,-26865] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:14865:64] |
Generators of the group modulo torsion |
j |
81916141607/50432319 |
j-invariant |
L |
5.4756187288211 |
L(r)(E,1)/r! |
Ω |
0.43766643256158 |
Real period |
R |
3.1277351431807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067l1 |
Quadratic twists by: -7 |