Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309t |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1830736089 = 32 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15902,-773125] |
[a1,a2,a3,a4,a6] |
Generators |
[75912:149213:512] |
Generators of the group modulo torsion |
j |
3779648905033/15561 |
j-invariant |
L |
6.0052336911531 |
L(r)(E,1)/r! |
Ω |
0.42514785896441 |
Real period |
R |
7.0625237367773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927h1 5187c1 |
Quadratic twists by: -3 -7 |