Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ba |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22588608000000 = 212 · 3 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21233,-1161663] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:104:1] [307:4600:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
9.5830978373847 |
L(r)(E,1)/r! |
Ω |
0.39601226727643 |
Real period |
R |
12.099496189843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ha3 4704bf2 2400m3 |
Quadratic twists by: -4 5 -7 |