Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526f |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10399885477632 = -1 · 28 · 35 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5365,-32451] |
[a1,a2,a3,a4,a6] |
Generators |
[70:797:1] |
Generators of the group modulo torsion |
j |
145116956375/88397568 |
j-invariant |
L |
2.8481347451044 |
L(r)(E,1)/r! |
Ω |
0.41887424334149 |
Real period |
R |
3.3997491972578 |
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 |
68208cp1 25578bi1 1218c1 |
Quadratic twists by: -4 -3 -7 |