Atkin-Lehner |
3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1617b |
Isogeny class |
Conductor |
1617 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-138683817657 = -1 · 37 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11+ 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,979,-13084] |
[a1,a2,a3,a4,a6] |
Generators |
[20:112:1] |
Generators of the group modulo torsion |
j |
17999471/24057 |
j-invariant |
L |
1.9712329736993 |
L(r)(E,1)/r! |
Ω |
0.55184725452792 |
Real period |
R |
1.1906875544064 |
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 |
25872ci1 103488cq1 4851g1 40425bs1 |
Quadratic twists by: -4 8 -3 5 |