Atkin-Lehner |
3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14415c |
Isogeny class |
Conductor |
14415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
191900483424225 = 32 · 52 · 318 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14435,-43288] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3151:1] |
Generators of the group modulo torsion |
j |
374805361/216225 |
j-invariant |
L |
2.3199728124226 |
L(r)(E,1)/r! |
Ω |
0.47500539614267 |
Real period |
R |
4.8840978044927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43245c2 72075bd2 465b2 |
Quadratic twists by: -3 5 -31 |