Atkin-Lehner |
5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11515d |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.4372527394355E+19 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-513235,382084716] |
[a1,a2,a3,a4,a6] |
Generators |
[63198870:-1791779233:74088] |
Generators of the group modulo torsion |
j |
-370502057518767/1347401916125 |
j-invariant |
L |
4.972865594546 |
L(r)(E,1)/r! |
Ω |
0.17412680884 |
Real period |
R |
9.5196246683172 |
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 |
103635bh2 57575e2 11515g2 |
Quadratic twists by: -3 5 -7 |