Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070s |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
29 |
Product of Tamagawa factors cp |
deg |
174000 |
Modular degree for the optimal curve |
Δ |
-3534959411200000 = -1 · 229 · 55 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44241,-4587479] |
[a1,a2,a3,a4,a6] |
Generators |
[330:3931:1] |
Generators of the group modulo torsion |
j |
-195435318335123041/72142028800000 |
j-invariant |
L |
5.4188991651263 |
L(r)(E,1)/r! |
Ω |
0.16161425974823 |
Real period |
R |
1.1562011433397 |
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 |
105350t1 21070v1 |
Quadratic twists by: 5 -7 |