Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015m |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
-3702809777338546875 = -1 · 35 · 56 · 79 · 11 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,381129,19348985] |
[a1,a2,a3,a4,a6] |
Generators |
[5019:358312:1] |
Generators of the group modulo torsion |
j |
6122637663874238283776/3702809777338546875 |
j-invariant |
L |
4.6025849678718 |
L(r)(E,1)/r! |
Ω |
0.15289799634252 |
Real period |
R |
0.11149008750861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45045bj2 75075i2 105105bf2 |
Quadratic twists by: -3 5 -7 |