Atkin-Lehner |
3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015f |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-15249609375 = -1 · 3 · 58 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,605,1832] |
[a1,a2,a3,a4,a6] |
Generators |
[61:489:1] |
Generators of the group modulo torsion |
j |
24487529386319/15249609375 |
j-invariant |
L |
2.3454470226627 |
L(r)(E,1)/r! |
Ω |
0.77038917514168 |
Real period |
R |
3.0444963381415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45045x1 75075bm1 105105bs1 |
Quadratic twists by: -3 5 -7 |