Atkin-Lehner |
2+ 3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790j |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-3564995625000 = -1 · 23 · 33 · 57 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3816,-5560] |
[a1,a2,a3,a4,a6] |
Generators |
[211:3082:1] |
Generators of the group modulo torsion |
j |
227573153195877/132036875000 |
j-invariant |
L |
5.876623506357 |
L(r)(E,1)/r! |
Ω |
0.46856169364453 |
Real period |
R |
0.29861512199128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790bg1 |
Quadratic twists by: -3 |