Atkin-Lehner |
3+ 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745b |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-40596255 = -1 · 33 · 5 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128,666] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-13:1] [-66:295:8] |
Generators of the group modulo torsion |
j |
-8527173507/1503565 |
j-invariant |
L |
7.0003717505539 |
L(r)(E,1)/r! |
Ω |
1.9616316405778 |
Real period |
R |
1.7843237242358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745i1 |
Quadratic twists by: -3 |