Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015w |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
823326411132225 = 34 · 52 · 76 · 112 · 134 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66853,-6513877] |
[a1,a2,a3,a4,a6] |
Generators |
[457:7415:1] |
Generators of the group modulo torsion |
j |
33042817838684613961/823326411132225 |
j-invariant |
L |
7.5943503485988 |
L(r)(E,1)/r! |
Ω |
0.29735817042214 |
Real period |
R |
1.0641418195294 |
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 |
45045be2 75075b2 105105d2 |
Quadratic twists by: -3 5 -7 |