Atkin-Lehner |
3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20349c |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
33443391606570981 = 310 · 75 · 173 · 193 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 2 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-789213,269717112] |
[a1,a2,a3,a4,a6] |
j |
74572529560399507456/45875708650989 |
j-invariant |
L |
0.72917236454367 |
L(r)(E,1)/r! |
Ω |
0.36458618227184 |
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 |
6783d1 |
Quadratic twists by: -3 |