Atkin-Lehner |
3+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475f |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8047859765625 = 32 · 58 · 172 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37838,2813906] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1492:1] |
Generators of the group modulo torsion |
j |
383432500775449/515063025 |
j-invariant |
L |
3.0363843603739 |
L(r)(E,1)/r! |
Ω |
0.73659631153024 |
Real period |
R |
2.061091196303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047838 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22695d2 |
Quadratic twists by: 5 |