Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476f |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
211518724961232 = 24 · 36 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26589,1523898] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3132:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
4.2774601939991 |
L(r)(E,1)/r! |
Ω |
0.54574989746968 |
Real period |
R |
3.9188831860818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428j1 2652b1 |
Quadratic twists by: -3 13 |