Atkin-Lehner |
2+ 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182a |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-391088603136 = -1 · 215 · 3 · 72 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40057,-3102683] |
[a1,a2,a3,a4,a6] |
Generators |
[168445:6029602:125] |
Generators of the group modulo torsion |
j |
-7108466381424397081/391088603136 |
j-invariant |
L |
3.2175573405048 |
L(r)(E,1)/r! |
Ω |
0.16873186570678 |
Real period |
R |
9.5345278351163 |
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 |
84546bl1 |
Quadratic twists by: -3 |