Atkin-Lehner |
2+ 3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978b |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.139807656015E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1002813239,-12262566362085] |
[a1,a2,a3,a4,a6] |
Generators |
[917749464690394252191385241748962076083957365:-132120246395404092516491365992555613352121836882:19412027466235342133355857853911217755375] |
Generators of the group modulo torsion |
j |
-111527993597885114164012178708473/413980765601504764798430334 |
j-invariant |
L |
4.969555828544 |
L(r)(E,1)/r! |
Ω |
0.013411212602368 |
Real period |
R |
61.758718567271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128934bj3 |
Quadratic twists by: -3 |