Atkin-Lehner |
2+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21386b |
Isogeny class |
Conductor |
21386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-140408045772448 = -1 · 25 · 179 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 -3 -2 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47547,4027046] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:2478:1] |
Generators of the group modulo torsion |
j |
-492477523273/5816992 |
j-invariant |
L |
1.1666210895126 |
L(r)(E,1)/r! |
Ω |
0.58388472352146 |
Real period |
R |
0.49950831153648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1258a1 |
Quadratic twists by: 17 |