Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608m |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
980159678042112 = 212 · 37 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 0 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-598440,178181872] |
[a1,a2,a3,a4,a6] |
Generators |
[452:180:1] |
Generators of the group modulo torsion |
j |
7937762099392000/328253493 |
j-invariant |
L |
7.6783185582649 |
L(r)(E,1)/r! |
Ω |
0.46445338130034 |
Real period |
R |
2.0664933289382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bm1 37536bb1 |
Quadratic twists by: -4 -3 |