Atkin-Lehner |
3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34983a |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
28406818382553 = 39 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29945,-1970432] |
[a1,a2,a3,a4,a6] |
Generators |
[244:2159:1] |
Generators of the group modulo torsion |
j |
31255875/299 |
j-invariant |
L |
2.8615807269341 |
L(r)(E,1)/r! |
Ω |
0.36313691908994 |
Real period |
R |
0.98502127451842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34983b1 2691a1 |
Quadratic twists by: -3 13 |