Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576b |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
967466918467584 = 211 · 311 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98211,11751550] |
[a1,a2,a3,a4,a6] |
j |
70169217079106/648005427 |
j-invariant |
L |
3.9804363758087 |
L(r)(E,1)/r! |
Ω |
0.4975544389397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192i2 |
Quadratic twists by: -3 |