Atkin-Lehner |
2- 3- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992o |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
23869581133392 = 24 · 38 · 373 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18693,-961470] |
[a1,a2,a3,a4,a6] |
Generators |
[342:5724:1] |
Generators of the group modulo torsion |
j |
45150647222272000/1491848820837 |
j-invariant |
L |
6.5170516846832 |
L(r)(E,1)/r! |
Ω |
0.40912634845696 |
Real period |
R |
3.9822977150308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29748a1 |
Quadratic twists by: -4 |