Atkin-Lehner |
2+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336h |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
585792 |
Modular degree for the optimal curve |
Δ |
-104106795808252096 = -1 · 26 · 199 · 712 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117448,-987862] |
[a1,a2,a3,a4,a6] |
Generators |
[319:8303:1] |
Generators of the group modulo torsion |
j |
2799500923617509376/1626668684503939 |
j-invariant |
L |
6.213914824656 |
L(r)(E,1)/r! |
Ω |
0.19856804250304 |
Real period |
R |
1.7385349912948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336j1 1349b1 |
Quadratic twists by: -4 8 |