Atkin-Lehner |
2+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728i |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-13764311474241536 = -1 · 231 · 13 · 793 |
Discriminant |
Eigenvalues |
2+ 0 1 1 5 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2708,-5644368] |
[a1,a2,a3,a4,a6] |
Generators |
[281116:2775744:1331] |
Generators of the group modulo torsion |
j |
8377795791/52506681344 |
j-invariant |
L |
7.7311431187497 |
L(r)(E,1)/r! |
Ω |
0.18360267059385 |
Real period |
R |
7.0180016931306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728v1 2054d1 |
Quadratic twists by: -4 8 |