Atkin-Lehner |
3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45951f |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4798080 |
Modular degree for the optimal curve |
Δ |
9.7613735530399E+23 |
Discriminant |
Eigenvalues |
-1 3+ 0 1 4 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36485678,70241216780] |
[a1,a2,a3,a4,a6] |
j |
45295043748844625/8231341888719 |
j-invariant |
L |
0.83732345078947 |
L(r)(E,1)/r! |
Ω |
0.083732345068489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45951j1 |
Quadratic twists by: 17 |