Atkin-Lehner |
2+ 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850h |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-4081147200 = -1 · 26 · 33 · 52 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-110,3060] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-54:1] |
Generators of the group modulo torsion |
j |
-5971949905/163245888 |
j-invariant |
L |
2.6369439175118 |
L(r)(E,1)/r! |
Ω |
1.1619080867664 |
Real period |
R |
0.37824906926803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850co1 |
Quadratic twists by: 5 |