Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bn |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
204575490000 = 24 · 33 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1518,-6683] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:75:1] [-7:60:1] |
Generators of the group modulo torsion |
j |
895478740992/473554375 |
j-invariant |
L |
10.721364269499 |
L(r)(E,1)/r! |
Ω |
0.81181892004841 |
Real period |
R |
3.3016489272482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440k1 |
Quadratic twists by: -3 |