Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bl |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-1.1018814987083E+20 |
Discriminant |
Eigenvalues |
2- -1 3 -5 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,265411,-502179501] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:-41512:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
6.6803653926864 |
L(r)(E,1)/r! |
Ω |
0.089768793775636 |
Real period |
R |
0.71555247564615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718f1 3146d1 |
Quadratic twists by: -11 13 |