Atkin-Lehner |
3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45315f |
Isogeny class |
Conductor |
45315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-1882974195 = -1 · 39 · 5 · 192 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -6 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,177,-1881] |
[a1,a2,a3,a4,a6] |
Generators |
[66:91:8] |
Generators of the group modulo torsion |
j |
841232384/2582955 |
j-invariant |
L |
8.7259367853457 |
L(r)(E,1)/r! |
Ω |
0.75824279007231 |
Real period |
R |
2.8770259670059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15105d1 |
Quadratic twists by: -3 |