Atkin-Lehner |
2+ 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050c |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9529833221436E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19324025,-32693588625] |
[a1,a2,a3,a4,a6] |
Generators |
[94002683569:25231882278024:1295029] |
Generators of the group modulo torsion |
j |
51073602635162593292689/18899093261718750 |
j-invariant |
L |
2.9681415786109 |
L(r)(E,1)/r! |
Ω |
0.072008671501015 |
Real period |
R |
20.609612103998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010w4 |
Quadratic twists by: 5 |