Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962n |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
-1294821440852794162 = -1 · 2 · 717 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3256409,-2263832017] |
[a1,a2,a3,a4,a6] |
Generators |
[72815201:2914304951:24389] |
Generators of the group modulo torsion |
j |
-31561336767775878870433/10701003643411522 |
j-invariant |
L |
7.8023150435643 |
L(r)(E,1)/r! |
Ω |
0.056192191764685 |
Real period |
R |
8.1676776440239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962y1 |
Quadratic twists by: -11 |