Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bd |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3444000000 = -1 · 28 · 3 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,-3612] |
[a1,a2,a3,a4,a6] |
Generators |
[804:22806:1] |
Generators of the group modulo torsion |
j |
-810448/861 |
j-invariant |
L |
9.4779580883129 |
L(r)(E,1)/r! |
Ω |
0.54662945777309 |
Real period |
R |
5.7796361276167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3444d1 |
Quadratic twists by: 5 |