Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070n |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16859136 |
Modular degree for the optimal curve |
Δ |
1.2566772947685E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1358247865,-19266774129555] |
[a1,a2,a3,a4,a6] |
j |
6867180224731135309288527/3114163486720 |
j-invariant |
L |
1.1937023284738 |
L(r)(E,1)/r! |
Ω |
0.024868798124666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070t1 |
Quadratic twists by: -7 |