Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502h |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
1704347454283776 = 213 · 37 · 175 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 1 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202995,35197429] |
[a1,a2,a3,a4,a6] |
j |
1268976004235100721/2337925177344 |
j-invariant |
L |
0.94536978557522 |
L(r)(E,1)/r! |
Ω |
0.47268489278761 |
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 |
6834p1 |
Quadratic twists by: -3 |