Atkin-Lehner |
2+ 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4794b |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
438018192 = 24 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-195,-387] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] |
Generators of the group modulo torsion |
j |
826614141625/438018192 |
j-invariant |
L |
2.7065932094065 |
L(r)(E,1)/r! |
Ω |
1.3555687291182 |
Real period |
R |
0.99832385893379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352u1 14382j1 119850ck1 81498h1 |
Quadratic twists by: -4 -3 5 17 |