Atkin-Lehner |
5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6545c |
Isogeny class |
Conductor |
6545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-94241455 = -1 · 5 · 72 · 113 · 172 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,99,314] |
[a1,a2,a3,a4,a6] |
j |
107239576751/94241455 |
j-invariant |
L |
1.237495541089 |
L(r)(E,1)/r! |
Ω |
1.237495541089 |
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 |
104720q1 58905bs1 32725a1 45815r1 |
Quadratic twists by: -4 -3 5 -7 |