Atkin-Lehner |
5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15275c |
Isogeny class |
Conductor |
15275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-89101223046875 = -1 · 58 · 133 · 473 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11383,-647957] |
[a1,a2,a3,a4,a6] |
Generators |
[137:587:1] [157:1187:1] |
Generators of the group modulo torsion |
j |
-10440277590016/5702478275 |
j-invariant |
L |
4.6380685715887 |
L(r)(E,1)/r! |
Ω |
0.22536331199962 |
Real period |
R |
1.7150338751664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3055b2 |
Quadratic twists by: 5 |