Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cq |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
48023364450926592 = 214 · 36 · 72 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178984,27111860] |
[a1,a2,a3,a4,a6] |
Generators |
[-460:3510:1] [398:-4368:1] |
Generators of the group modulo torsion |
j |
154813496529595177/11724454211652 |
j-invariant |
L |
11.110730480425 |
L(r)(E,1)/r! |
Ω |
0.34999199839765 |
Real period |
R |
0.44091208320266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282e1 |
Quadratic twists by: -4 |