Atkin-Lehner |
2+ 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834b |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
1687772546285328 = 24 · 314 · 173 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-489556895,4168997387061] |
[a1,a2,a3,a4,a6] |
Generators |
[1594945:-444272:125] |
Generators of the group modulo torsion |
j |
12975772672929840830286398421625/1687772546285328 |
j-invariant |
L |
2.8072868954575 |
L(r)(E,1)/r! |
Ω |
0.18685047251543 |
Real period |
R |
2.5040404926152 |
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 |
54672bf1 20502ba1 116178l1 |
Quadratic twists by: -4 -3 17 |