Atkin-Lehner |
5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26195j |
Isogeny class |
Conductor |
26195 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
35568 |
Modular degree for the optimal curve |
Δ |
-3160956543875 = -1 · 53 · 138 · 31 |
Discriminant |
Eigenvalues |
0 1 5- 2 6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1465,-82286] |
[a1,a2,a3,a4,a6] |
Generators |
[1911976346:54594807443:2352637] |
Generators of the group modulo torsion |
j |
425984/3875 |
j-invariant |
L |
6.5172749224698 |
L(r)(E,1)/r! |
Ω |
0.39466236234039 |
Real period |
R |
16.513545613576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26195a1 |
Quadratic twists by: 13 |