Atkin-Lehner |
5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815g |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1007946630845 = -1 · 5 · 78 · 112 · 172 |
Discriminant |
Eigenvalues |
1 -3 5+ 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1265,-45410] |
[a1,a2,a3,a4,a6] |
Generators |
[86:790:1] |
Generators of the group modulo torsion |
j |
38816631/174845 |
j-invariant |
L |
3.7268249221966 |
L(r)(E,1)/r! |
Ω |
0.44304148041977 |
Real period |
R |
0.70099247416194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45815x1 |
Quadratic twists by: -7 |