Atkin-Lehner |
2+ 3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176c |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
318780859392 = 210 · 33 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6531,-201326] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:42:1] [-45:38:1] |
Generators of the group modulo torsion |
j |
1114292077164/11529979 |
j-invariant |
L |
9.1672959233656 |
L(r)(E,1)/r! |
Ω |
0.53140550046903 |
Real period |
R |
1.4375864122366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56088f1 112176d1 |
Quadratic twists by: -4 -3 |