Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10829c |
Isogeny class |
Conductor |
10829 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
9653777284697 = 76 · 136 · 17 |
Discriminant |
Eigenvalues |
-1 0 -4 7- 6 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35902,-2605060] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:85:1] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
1.8133434769527 |
L(r)(E,1)/r! |
Ω |
0.34687264546428 |
Real period |
R |
1.7425641184299 |
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 |
97461w1 221a1 |
Quadratic twists by: -3 -7 |