Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104q |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
3273984 = 28 · 32 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,3611] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-6:1] |
Generators of the group modulo torsion |
j |
843308032/261 |
j-invariant |
L |
4.8066092394267 |
L(r)(E,1)/r! |
Ω |
2.4627248492502 |
Real period |
R |
0.24396804016137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208h1 102312bw1 34104a1 |
Quadratic twists by: -4 -3 -7 |