Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14210o |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-44326378432000000 = -1 · 212 · 56 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81339,4817483] |
[a1,a2,a3,a4,a6] |
Generators |
[231:5884:1] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
9.3127995540109 |
L(r)(E,1)/r! |
Ω |
0.22989833835053 |
Real period |
R |
1.6878474091397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680ba1 127890cs1 71050o1 2030b1 |
Quadratic twists by: -4 -3 5 -7 |