Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175f |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.1478559055987E+26 |
Discriminant |
Eigenvalues |
0 2 5+ -1 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-374061783,-2831785521407] |
[a1,a2,a3,a4,a6] |
Generators |
[188747:81551962:1] [636281:507305974:1] |
Generators of the group modulo torsion |
j |
-76749153178275905536/1521973998936235 |
j-invariant |
L |
12.958358163931 |
L(r)(E,1)/r! |
Ω |
0.017144441978395 |
Real period |
R |
10.497699309929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19435a3 7475a3 |
Quadratic twists by: 5 13 |