Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914m |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
86726376 = 23 · 34 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-184,830] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:35:1] |
Generators of the group modulo torsion |
j |
56181887/7128 |
j-invariant |
L |
4.7115692643262 |
L(r)(E,1)/r! |
Ω |
1.846260010564 |
Real period |
R |
0.31899415828261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742cb1 34914p1 |
Quadratic twists by: -3 -23 |