Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bn |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-214358881000000 = -1 · 26 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14480,-220350] |
[a1,a2,a3,a4,a6] |
Generators |
[116985:1747410:1331] |
Generators of the group modulo torsion |
j |
2961169856/1890625 |
j-invariant |
L |
8.3151002231095 |
L(r)(E,1)/r! |
Ω |
0.32190159682479 |
Real period |
R |
8.6103955423324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720bo1 19360f2 3520k1 |
Quadratic twists by: -4 8 -11 |