Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930o |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
727552 |
Modular degree for the optimal curve |
Δ |
4559686430883840000 = 228 · 37 · 54 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-702739,-202193938] |
[a1,a2,a3,a4,a6] |
j |
38380001967437967511849/4559686430883840000 |
j-invariant |
L |
2.3264202609661 |
L(r)(E,1)/r! |
Ω |
0.1661728757833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65790ct1 109650ch1 |
Quadratic twists by: -3 5 |