Atkin-Lehner |
2+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160f |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-60921200 = -1 · 24 · 52 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 3 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,-205] |
[a1,a2,a3,a4,a6] |
Generators |
[26:85:8] |
Generators of the group modulo torsion |
j |
4048192256/3807575 |
j-invariant |
L |
6.9834166739676 |
L(r)(E,1)/r! |
Ω |
1.0780561202467 |
Real period |
R |
1.0796309738755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080d1 |
Quadratic twists by: -4 |