Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976s |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-315064512 = -1 · 26 · 33 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135,604] |
[a1,a2,a3,a4,a6] |
Generators |
[23:126:1] |
Generators of the group modulo torsion |
j |
157464000/182329 |
j-invariant |
L |
7.1938315045973 |
L(r)(E,1)/r! |
Ω |
1.1466864519232 |
Real period |
R |
1.5683955091733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122976h1 122976d1 |
Quadratic twists by: -4 -3 |