Atkin-Lehner |
3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015f |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4479411449097585 = -1 · 38 · 5 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7720,-3233878] |
[a1,a2,a3,a4,a6] |
Generators |
[7150:208803:8] |
Generators of the group modulo torsion |
j |
-50883752216868481/4479411449097585 |
j-invariant |
L |
2.3454470226627 |
L(r)(E,1)/r! |
Ω |
0.19259729378542 |
Real period |
R |
6.0889926762829 |
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 |
45045x5 75075bm5 105105bs5 |
Quadratic twists by: -3 5 -7 |