Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480cb |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
8.16536953125E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303370392,-2033798359876] |
[a1,a2,a3,a4,a6] |
Generators |
[-22090874:281250:2197] |
Generators of the group modulo torsion |
j |
16545343830589964801941504/437530517578125 |
j-invariant |
L |
6.8500281150884 |
L(r)(E,1)/r! |
Ω |
0.036174809868326 |
Real period |
R |
3.1559843898877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10620k2 14160n2 |
Quadratic twists by: -4 -3 |