Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070i |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
235672500000000 = 28 · 3 · 510 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24310,1247987] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:1351:1] |
Generators of the group modulo torsion |
j |
1588838318202975841/235672500000000 |
j-invariant |
L |
6.6301620494793 |
L(r)(E,1)/r! |
Ω |
0.53426718960095 |
Real period |
R |
0.31024561205188 |
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 |
112560cn2 42210j2 70350w2 98490bu2 |
Quadratic twists by: -4 -3 5 -7 |