Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169h |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-2.4920453374453E+22 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 11- 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-315128163,-2153186469968] |
[a1,a2,a3,a4,a6] |
Generators |
[271705:141316906:1] |
Generators of the group modulo torsion |
j |
-823518798157080825856/5929855229331 |
j-invariant |
L |
3.0348376610287 |
L(r)(E,1)/r! |
Ω |
0.017916268690172 |
Real period |
R |
7.0579187710124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723a1 92169bo1 |
Quadratic twists by: -3 -7 |