Atkin-Lehner |
3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015f |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
952527200625 = 32 · 54 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2520,11832] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:158:1] |
Generators of the group modulo torsion |
j |
1769848555063681/952527200625 |
j-invariant |
L |
2.3454470226627 |
L(r)(E,1)/r! |
Ω |
0.77038917514168 |
Real period |
R |
1.5222481690707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
45045x2 75075bm2 105105bs2 |
Quadratic twists by: -3 5 -7 |