Atkin-Lehner |
2+ 3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970f |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8978931054472500 = 22 · 39 · 54 · 116 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78045,-7026175] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1108:1] |
Generators of the group modulo torsion |
j |
2670981036558723/456176957500 |
j-invariant |
L |
6.0519279943457 |
L(r)(E,1)/r! |
Ω |
0.28896280462732 |
Real period |
R |
1.7453019030386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970bk2 |
Quadratic twists by: -3 |