Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bl |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3336793482515625 = -1 · 316 · 56 · 112 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36670,637922] |
[a1,a2,a3,a4,a6] |
Generators |
[24:1225:1] |
Generators of the group modulo torsion |
j |
478762350767/292942089 |
j-invariant |
L |
3.1885047312136 |
L(r)(E,1)/r! |
Ω |
0.2752241689832 |
Real period |
R |
1.4481398612742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33825r2 4059b2 |
Quadratic twists by: -3 5 |