Atkin-Lehner |
3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5115d |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21099375 = 32 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-182,-999] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] |
Generators of the group modulo torsion |
j |
672451615081/21099375 |
j-invariant |
L |
3.8410818702513 |
L(r)(E,1)/r! |
Ω |
1.3013849848257 |
Real period |
R |
0.7378834693497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840di2 15345c2 25575l2 56265f2 |
Quadratic twists by: -4 -3 5 -11 |