Atkin-Lehner |
5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2915b |
Isogeny class |
Conductor |
2915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-8817875 = -1 · 53 · 113 · 53 |
Discriminant |
Eigenvalues |
-1 3 5- 5 11+ -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27,-146] |
[a1,a2,a3,a4,a6] |
j |
-2102071041/8817875 |
j-invariant |
L |
2.8686886496287 |
L(r)(E,1)/r! |
Ω |
0.95622954987623 |
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 |
46640x1 26235g1 14575d1 32065d1 |
Quadratic twists by: -4 -3 5 -11 |