Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851t |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1047552 |
Modular degree for the optimal curve |
Δ |
-1469689499372103 = -1 · 34 · 237 · 732 |
Discriminant |
Eigenvalues |
1 3- -4 2 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115598,15230027] |
[a1,a2,a3,a4,a6] |
Generators |
[195:238:1] |
Generators of the group modulo torsion |
j |
-1153990560169/9927927 |
j-invariant |
L |
7.7363545386295 |
L(r)(E,1)/r! |
Ω |
0.48064139565192 |
Real period |
R |
4.0239743323834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037h1 |
Quadratic twists by: -23 |