Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700h |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-3819485516000000 = -1 · 28 · 56 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64533,-6996937] |
[a1,a2,a3,a4,a6] |
Generators |
[634:14399:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
5.877147906059 |
L(r)(E,1)/r! |
Ω |
0.14870247032239 |
Real period |
R |
3.2935722217158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3388f1 7700h1 |
Quadratic twists by: 5 -11 |