Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914t |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
2.1383822195878E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11+ 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1338910,-553812901] |
[a1,a2,a3,a4,a6] |
Generators |
[-631:6663:1] |
Generators of the group modulo torsion |
j |
1793126264853169/144450256896 |
j-invariant |
L |
8.8175427970693 |
L(r)(E,1)/r! |
Ω |
0.14106748742185 |
Real period |
R |
0.41122267817283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742u1 1518o1 |
Quadratic twists by: -3 -23 |