Atkin-Lehner |
5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15275a |
Isogeny class |
Conductor |
15275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-93231201171875 = -1 · 516 · 13 · 47 |
Discriminant |
Eigenvalues |
2 -1 5+ -4 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-39658,-3061907] |
[a1,a2,a3,a4,a6] |
Generators |
[326265778:-8936374487:405224] |
Generators of the group modulo torsion |
j |
-441475962793984/5966796875 |
j-invariant |
L |
6.6252361892281 |
L(r)(E,1)/r! |
Ω |
0.16901946983317 |
Real period |
R |
9.7995162861528 |
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 |
3055a1 |
Quadratic twists by: 5 |