Atkin-Lehner |
2+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11594a |
Isogeny class |
Conductor |
11594 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
2968064 = 29 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -2 1 3 11- 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78,-256] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
51520374361/2968064 |
j-invariant |
L |
2.7496452854325 |
L(r)(E,1)/r! |
Ω |
1.6147454530379 |
Real period |
R |
1.7028351312336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92752h1 104346bu1 127534p1 |
Quadratic twists by: -4 -3 -11 |