Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600j |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
418500000000000 = 211 · 33 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96075,-11419750] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:150:1] [359:598:1] |
Generators of the group modulo torsion |
j |
113511836214/484375 |
j-invariant |
L |
10.376696063791 |
L(r)(E,1)/r! |
Ω |
0.27124294473602 |
Real period |
R |
9.5640239381969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bf2 111600i2 22320b2 |
Quadratic twists by: -4 -3 5 |