Atkin-Lehner |
2- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
69350h |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-28243004218750 = -1 · 2 · 57 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9130,-419753] |
[a1,a2,a3,a4,a6] |
Generators |
[6422:177285:8] |
Generators of the group modulo torsion |
j |
-5386062926889/1807552270 |
j-invariant |
L |
7.2050333269791 |
L(r)(E,1)/r! |
Ω |
0.24012353488281 |
Real period |
R |
3.0005527494647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870a1 |
Quadratic twists by: 5 |