Atkin-Lehner |
2+ 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28272a |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-312499065422592 = -1 · 28 · 33 · 196 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70732,7313968] |
[a1,a2,a3,a4,a6] |
Generators |
[168:380:1] |
Generators of the group modulo torsion |
j |
-152875433506709968/1220699474307 |
j-invariant |
L |
5.0956025261533 |
L(r)(E,1)/r! |
Ω |
0.54691424292126 |
Real period |
R |
1.552834102758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14136d2 113088bd2 84816h2 |
Quadratic twists by: -4 8 -3 |