Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700h |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4323600750000 = -1 · 24 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,103762] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:343:1] |
Generators of the group modulo torsion |
j |
-16384/147 |
j-invariant |
L |
3.8074830470917 |
L(r)(E,1)/r! |
Ω |
0.66456054461718 |
Real period |
R |
0.95488742596682 |
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 |
58800iq1 44100bz1 588f1 2100n1 |
Quadratic twists by: -4 -3 5 -7 |