Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476r |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4388656896 = 28 · 33 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541012,-153345100] |
[a1,a2,a3,a4,a6] |
Generators |
[875:6630:1] |
Generators of the group modulo torsion |
j |
31136886750912784/7803 |
j-invariant |
L |
7.8975255570791 |
L(r)(E,1)/r! |
Ω |
0.17603448872844 |
Real period |
R |
3.7386260755516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428bc2 34476t2 |
Quadratic twists by: -3 13 |