Atkin-Lehner |
3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015z |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3621195703125 = 33 · 58 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21230,1185327] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1378:1] |
Generators of the group modulo torsion |
j |
1058217582541885921/3621195703125 |
j-invariant |
L |
4.0539332944838 |
L(r)(E,1)/r! |
Ω |
0.7922216228531 |
Real period |
R |
0.21321544678601 |
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 |
45045y4 75075m4 105105u4 |
Quadratic twists by: -3 5 -7 |