Atkin-Lehner |
2+ 3+ 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990c |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-777444487776000000 = -1 · 211 · 39 · 56 · 112 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216795,-17086699] |
[a1,a2,a3,a4,a6] |
Generators |
[745:23239:1] |
Generators of the group modulo torsion |
j |
57250472852639997/39498272000000 |
j-invariant |
L |
2.6222087752521 |
L(r)(E,1)/r! |
Ω |
0.16042820075397 |
Real period |
R |
4.0862653360595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999717136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990p2 |
Quadratic twists by: -3 |