Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070i |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-6051225600000 = -1 · 216 · 32 · 55 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2570,108275] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:303:1] |
Generators of the group modulo torsion |
j |
1877208536357279/6051225600000 |
j-invariant |
L |
6.6301620494793 |
L(r)(E,1)/r! |
Ω |
0.53426718960095 |
Real period |
R |
0.15512280602594 |
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 |
112560cn1 42210j1 70350w1 98490bu1 |
Quadratic twists by: -4 -3 5 -7 |