Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14070j |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-2363760 = -1 · 24 · 32 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-1027243729/2363760 |
j-invariant |
L |
7.7147532641275 |
L(r)(E,1)/r! |
Ω |
2.2917763145706 |
Real period |
R |
0.84156918097534 |
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 |
112560bl1 42210k1 70350h1 98490bl1 |
Quadratic twists by: -4 -3 5 -7 |