Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840f |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7.7697995381716E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145135625441,-21281833044211359] |
[a1,a2,a3,a4,a6] |
j |
-1289751009768313401479442908608441/2963943305271752785920000 |
j-invariant |
L |
0.41768583562782 |
L(r)(E,1)/r! |
Ω |
0.0038674614365644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840cb2 2370e2 |
Quadratic twists by: -4 8 |