Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328k |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-9125605073155424256 = -1 · 215 · 313 · 133 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37695,145301409] |
[a1,a2,a3,a4,a6] |
Generators |
[-475:4472:1] |
Generators of the group modulo torsion |
j |
180764647572088/278491365757917 |
j-invariant |
L |
6.57180609934 |
L(r)(E,1)/r! |
Ω |
0.18089052697899 |
Real period |
R |
1.0091748446063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107328v1 53664d1 |
Quadratic twists by: -4 8 |