Atkin-Lehner |
2+ 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440b |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-146481528453120 = -1 · 211 · 39 · 5 · 7 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10557,405918] |
[a1,a2,a3,a4,a6] |
Generators |
[51684:1481139:64] |
Generators of the group modulo torsion |
j |
3227929434/3633805 |
j-invariant |
L |
6.0850742815965 |
L(r)(E,1)/r! |
Ω |
0.38565966872164 |
Real period |
R |
7.8891764044199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999414408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440bx1 |
Quadratic twists by: -3 |