Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245c |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-298577837154025 = -1 · 52 · 114 · 138 |
Discriminant |
Eigenvalues |
1 0 5+ 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16615,-112150] |
[a1,a2,a3,a4,a6] |
j |
42471/25 |
j-invariant |
L |
1.9237002678786 |
L(r)(E,1)/r! |
Ω |
0.32061665774257 |
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 |
102245e1 102245k1 |
Quadratic twists by: -11 13 |