Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bc |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3139203937186800 = -1 · 24 · 34 · 52 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196898,-33802287] |
[a1,a2,a3,a4,a6] |
j |
-17939139239680/66706983 |
j-invariant |
L |
2.719090247 |
L(r)(E,1)/r! |
Ω |
0.11329542695833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800fk1 44100bk1 14700q1 2100d1 |
Quadratic twists by: -4 -3 5 -7 |