Atkin-Lehner |
2+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42826j |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-2353304674917518336 = -1 · 210 · 79 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4819323,4072448454] |
[a1,a2,a3,a4,a6] |
Generators |
[1359:5096:1] |
Generators of the group modulo torsion |
j |
-105218824605397613209/20002759691264 |
j-invariant |
L |
4.7666618188276 |
L(r)(E,1)/r! |
Ω |
0.25097011875621 |
Real period |
R |
0.94964728120889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118a1 |
Quadratic twists by: -7 |