Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bm |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
20 |
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 |
[-12048:2116:27] |
Generators of the group modulo torsion |
j |
7937762099392000/328253493 |
j-invariant |
L |
5.9429756571465 |
L(r)(E,1)/r! |
Ω |
0.17165066042602 |
Real period |
R |
1.731125192768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608m1 37536b1 |
Quadratic twists by: -4 -3 |