Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430c |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-17476769250 = -1 · 2 · 33 · 53 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -5 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-660,-8950] |
[a1,a2,a3,a4,a6] |
Generators |
[37:109:1] |
Generators of the group modulo torsion |
j |
-1178587523547/647287750 |
j-invariant |
L |
4.7451834078299 |
L(r)(E,1)/r! |
Ω |
0.45918351422032 |
Real period |
R |
1.2917448201132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47430y1 |
Quadratic twists by: -3 |