Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434k |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
2292536445308928 = 212 · 39 · 7 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86112,-9427968] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:354:1] |
Generators of the group modulo torsion |
j |
96870167113434625/3144768786432 |
j-invariant |
L |
4.7777068559315 |
L(r)(E,1)/r! |
Ω |
0.279252628613 |
Real period |
R |
1.425742131638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478t1 |
Quadratic twists by: -3 |