Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920b |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0828460294513E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7607201,-8070277215] |
[a1,a2,a3,a4,a6] |
Generators |
[-48555956969:-23896068768:30080231] |
Generators of the group modulo torsion |
j |
742879737792994384804/317817082130625 |
j-invariant |
L |
4.7614113554507 |
L(r)(E,1)/r! |
Ω |
0.090908497086979 |
Real period |
R |
13.09396675792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gx4 9240bh3 |
Quadratic twists by: -4 8 |