Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38955c |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13012494114375 = 32 · 54 · 77 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1143171,469975218] |
[a1,a2,a3,a4,a6] |
Generators |
[622:-91:1] [-309:28329:1] |
Generators of the group modulo torsion |
j |
1404329736140140321/110604375 |
j-invariant |
L |
4.2711221907296 |
L(r)(E,1)/r! |
Ω |
0.54061473516796 |
Real period |
R |
0.98756145386085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116865bh2 5565g2 |
Quadratic twists by: -3 -7 |