Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bc |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
36192 |
Modular degree for the optimal curve |
Δ |
-163976120550 = -1 · 2 · 313 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3966,-98402] |
[a1,a2,a3,a4,a6] |
Generators |
[86:402:1] |
Generators of the group modulo torsion |
j |
-275857255412545/6559044822 |
j-invariant |
L |
4.4335389060965 |
L(r)(E,1)/r! |
Ω |
0.3003890156137 |
Real period |
R |
0.56766632031861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150fn1 28050co1 |
Quadratic twists by: -3 5 |