Atkin-Lehner |
3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713a |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
50757661017 = 33 · 76 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-926,92] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-71:1] |
Generators of the group modulo torsion |
j |
3249025693731/1879913371 |
j-invariant |
L |
2.0298175417335 |
L(r)(E,1)/r! |
Ω |
0.94912855401947 |
Real period |
R |
0.35643530287806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34713b2 |
Quadratic twists by: -3 |