Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866g |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-4.4803637517538E+19 |
Discriminant |
Eigenvalues |
2- -1 1 -1 6 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9047075,10475127873] |
[a1,a2,a3,a4,a6] |
Generators |
[1771:2478:1] |
Generators of the group modulo torsion |
j |
-137676653031953881/75322597376 |
j-invariant |
L |
7.483357061236 |
L(r)(E,1)/r! |
Ω |
0.1997629246911 |
Real period |
R |
1.4408150355089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
754b1 |
Quadratic twists by: 29 |