Atkin-Lehner |
2- 3- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294x |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
2.5627181027173E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76627830,257025363336] |
[a1,a2,a3,a4,a6] |
Generators |
[4524:52116:1] |
Generators of the group modulo torsion |
j |
49760334797977183162272628321/256271810271726694647132 |
j-invariant |
L |
7.5064709102628 |
L(r)(E,1)/r! |
Ω |
0.098887791714934 |
Real period |
R |
0.63257479176418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882s2 |
Quadratic twists by: -3 |