Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910d |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.433302548965E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10107180,-12388042800] |
[a1,a2,a3,a4,a6] |
Generators |
[218677560:28712623020:12167] |
Generators of the group modulo torsion |
j |
-156634061220235043455681/333786357882720000 |
j-invariant |
L |
4.0876423777094 |
L(r)(E,1)/r! |
Ω |
0.042330812356465 |
Real period |
R |
12.070528981199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970w1 |
Quadratic twists by: -3 |