Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610by |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-947751321600 = -1 · 215 · 37 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2273,63281] |
[a1,a2,a3,a4,a6] |
Generators |
[15:172:1] [-45:292:1] |
Generators of the group modulo torsion |
j |
-3366353209/2457600 |
j-invariant |
L |
11.96037932522 |
L(r)(E,1)/r! |
Ω |
0.81171712717562 |
Real period |
R |
0.12278886865054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870t1 47610ck1 |
Quadratic twists by: -3 -23 |