Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725d |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27915099853515625 = 512 · 174 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11138542,-14305599009] |
[a1,a2,a3,a4,a6] |
Generators |
[2176741366528455319326270727899966747854868093447946:1414832151399081123012438416297986954809295194254992327:5144164760169015752066830597971475915265226379] |
Generators of the group modulo torsion |
j |
9781123632539052158001/1786566390625 |
j-invariant |
L |
6.5027119651417 |
L(r)(E,1)/r! |
Ω |
0.08264041147531 |
Real period |
R |
78.686829470646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3145c2 |
Quadratic twists by: 5 |