Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26505c |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51814558057080465 = 39 · 5 · 198 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225315,-39625664] |
[a1,a2,a3,a4,a6] |
Generators |
[-27841085300:-108375921431:107850176] |
Generators of the group modulo torsion |
j |
1735272097489704241/71076211326585 |
j-invariant |
L |
7.3809242276799 |
L(r)(E,1)/r! |
Ω |
0.21968381202741 |
Real period |
R |
16.798971575473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835e4 |
Quadratic twists by: -3 |