Atkin-Lehner |
2+ 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488b |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1291438512 = -1 · 24 · 33 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,270,-271] |
[a1,a2,a3,a4,a6] |
Generators |
[8:49:1] [28:171:1] |
Generators of the group modulo torsion |
j |
5038848000/2989441 |
j-invariant |
L |
11.822436852291 |
L(r)(E,1)/r! |
Ω |
0.89421896397413 |
Real period |
R |
1.6526205172134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488y1 |
Quadratic twists by: -3 |