Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
46360c |
Isogeny class |
Conductor |
46360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
88084000000 = 28 · 56 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117487,15500034] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1140:1] |
Generators of the group modulo torsion |
j |
700572668034370896/344078125 |
j-invariant |
L |
5.5374319990206 |
L(r)(E,1)/r! |
Ω |
0.87969362698423 |
Real period |
R |
1.0491213132157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92720b2 |
Quadratic twists by: -4 |