Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21300s |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-142879684320000 = -1 · 28 · 311 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7067,-525337] |
[a1,a2,a3,a4,a6] |
Generators |
[713:-19170:1] |
Generators of the group modulo torsion |
j |
243920076800/892998027 |
j-invariant |
L |
6.6925777462045 |
L(r)(E,1)/r! |
Ω |
0.29530027652086 |
Real period |
R |
0.11446280412039 |
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 |
85200ck1 63900r1 21300f1 |
Quadratic twists by: -4 -3 5 |