Atkin-Lehner |
2- 3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240bl |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.6278219257812E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64191040,188215072000] |
[a1,a2,a3,a4,a6] |
Generators |
[30405:5132630:1] |
Generators of the group modulo torsion |
j |
7141459983267774812650561/397417462348930640100 |
j-invariant |
L |
6.3423868038146 |
L(r)(E,1)/r! |
Ω |
0.083083555542118 |
Real period |
R |
9.5421812909023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015151 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
13530w3 |
Quadratic twists by: -4 |