Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914q |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-186650244 = -1 · 22 · 36 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-414,3268] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:75:1] [11:-15:1] |
Generators of the group modulo torsion |
j |
-14782919881/352836 |
j-invariant |
L |
7.0534921757684 |
L(r)(E,1)/r! |
Ω |
1.79373829468 |
Real period |
R |
0.16384525445845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742bq1 34914k1 |
Quadratic twists by: -3 -23 |