Atkin-Lehner |
2+ 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482u |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
227033414609296932 = 22 · 34 · 77 · 134 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-262567,46325665] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:157349:27] [136:3559:1] |
Generators of the group modulo torsion |
j |
17016039410180329/1929752183268 |
j-invariant |
L |
5.0942140689048 |
L(r)(E,1)/r! |
Ω |
0.30410383243732 |
Real period |
R |
0.3489908654738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926q1 |
Quadratic twists by: -7 |