Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070q |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-518032076800000 = -1 · 215 · 55 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69336,-7140967] |
[a1,a2,a3,a4,a6] |
Generators |
[693:16333:1] |
Generators of the group modulo torsion |
j |
-313337384670961/4403200000 |
j-invariant |
L |
10.377849844236 |
L(r)(E,1)/r! |
Ω |
0.14698291876789 |
Real period |
R |
4.7070548202606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350w1 430d1 |
Quadratic twists by: 5 -7 |