Atkin-Lehner |
2+ 3+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110a |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
948302258113518750 = 2 · 33 · 55 · 138 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248160,8365050] |
[a1,a2,a3,a4,a6] |
Generators |
[12999:8518:27] |
Generators of the group modulo torsion |
j |
62597396935379243547/35122305856056250 |
j-invariant |
L |
4.192492768823 |
L(r)(E,1)/r! |
Ω |
0.24093018119004 |
Real period |
R |
8.7006383898022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bo2 |
Quadratic twists by: -3 |