Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14910h |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1956937500 = -1 · 22 · 32 · 56 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-177,2241] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:54:1] |
Generators of the group modulo torsion |
j |
-618688004761/1956937500 |
j-invariant |
L |
3.2296639181558 |
L(r)(E,1)/r! |
Ω |
1.2969010301882 |
Real period |
R |
0.20752443986205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280ch1 44730bq1 74550cv1 104370be1 |
Quadratic twists by: -4 -3 5 -7 |