Atkin-Lehner |
7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
42581k |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1994496 |
Modular degree for the optimal curve |
Δ |
-1.4915932439194E+20 |
Discriminant |
Eigenvalues |
-1 1 -4 7- 11- -3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,573985,563306876] |
[a1,a2,a3,a4,a6] |
Generators |
[10091:1011778:1] |
Generators of the group modulo torsion |
j |
177761233013428511/1267833338081387 |
j-invariant |
L |
1.8553397274382 |
L(r)(E,1)/r! |
Ω |
0.1331521841286 |
Real period |
R |
0.49764210445511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083c1 |
Quadratic twists by: -7 |