Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-12899663720939520 = -1 · 216 · 39 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196803,-34045758] |
[a1,a2,a3,a4,a6] |
Generators |
[466275117:-104620670848:9261] |
Generators of the group modulo torsion |
j |
-10456049121363/160002640 |
j-invariant |
L |
6.7220506532713 |
L(r)(E,1)/r! |
Ω |
0.11323135194627 |
Real period |
R |
14.841407740664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710b1 85680da1 |
Quadratic twists by: -4 -3 |