Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502k |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-5597918893152 = -1 · 25 · 312 · 173 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 -2 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5310,188788] |
[a1,a2,a3,a4,a6] |
j |
-22715680520161/7678901088 |
j-invariant |
L |
1.435652035844 |
L(r)(E,1)/r! |
Ω |
0.71782601792202 |
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 |
6834s1 |
Quadratic twists by: -3 |