Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715c |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
106919003843631225 = 36 · 52 · 178 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1282443,558236088] |
[a1,a2,a3,a4,a6] |
Generators |
[31801098:158262141:54872] |
Generators of the group modulo torsion |
j |
9663733107639001/4429568025 |
j-invariant |
L |
5.8780969907568 |
L(r)(E,1)/r! |
Ω |
0.32955927023575 |
Real period |
R |
8.9181179483386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7395j2 |
Quadratic twists by: 17 |