Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496h |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-121118789376 = -1 · 28 · 39 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,-26730] |
[a1,a2,a3,a4,a6] |
Generators |
[46858:523270:343] |
Generators of the group modulo torsion |
j |
-64314864/24037 |
j-invariant |
L |
6.8311018416153 |
L(r)(E,1)/r! |
Ω |
0.38101600864598 |
Real period |
R |
8.9643239243138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248c1 80496g1 |
Quadratic twists by: -4 -3 |