Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752r |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3342336 |
Modular degree for the optimal curve |
Δ |
-1.8321264053131E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-855417,718912640] |
[a1,a2,a3,a4,a6] |
Generators |
[496:20412:1] |
Generators of the group modulo torsion |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
5.5428400794062 |
L(r)(E,1)/r! |
Ω |
0.15881620306998 |
Real period |
R |
2.1813108400843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752m1 31584s1 |
Quadratic twists by: -4 -3 |