Atkin-Lehner |
5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10285m |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
374544 |
Modular degree for the optimal curve |
Δ |
453546905517578125 = 517 · 112 · 173 |
Discriminant |
Eigenvalues |
2 3 5- 0 11- 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-274747,-44973833] |
[a1,a2,a3,a4,a6] |
j |
18955586170312298496/3748321533203125 |
j-invariant |
L |
10.781809105214 |
L(r)(E,1)/r! |
Ω |
0.21140802167087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565bc1 51425l1 10285j1 |
Quadratic twists by: -3 5 -11 |