Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8526h |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2722278408192 = -1 · 220 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1286,-81448] |
[a1,a2,a3,a4,a6] |
Generators |
[60:211:1] |
Generators of the group modulo torsion |
j |
-684962743375/7936671744 |
j-invariant |
L |
4.1195575531062 |
L(r)(E,1)/r! |
Ω |
0.34401254440737 |
Real period |
R |
2.9937553296225 |
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 |
68208bf1 25578br1 8526b1 |
Quadratic twists by: -4 -3 -7 |