Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395h |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8.4441458985966E+29 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4106109218,91113955379106] |
[a1,a2,a3,a4,a6] |
Generators |
[-7678:11057706:1] |
Generators of the group modulo torsion |
j |
10502378707360186405212787160281/1158319053305438335438359375 |
j-invariant |
L |
2.4849738484575 |
L(r)(E,1)/r! |
Ω |
0.027280593700369 |
Real period |
R |
3.7953931243922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999284673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465l4 |
Quadratic twists by: -3 |