Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840bp |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.2186321528013E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96723201,115162315425] |
[a1,a2,a3,a4,a6] |
Generators |
[6688032:-10122571701:32768] |
Generators of the group modulo torsion |
j |
381747126876224634907201/199075018035938934420 |
j-invariant |
L |
4.5031019036543 |
L(r)(E,1)/r! |
Ω |
0.055538206294103 |
Real period |
R |
10.135144351314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840v6 18960w5 |
Quadratic twists by: -4 8 |