Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700n |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
13023281250000 = 24 · 35 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15633,737262] |
[a1,a2,a3,a4,a6] |
Generators |
[62:50:1] |
Generators of the group modulo torsion |
j |
4927700992/151875 |
j-invariant |
L |
3.5964301432012 |
L(r)(E,1)/r! |
Ω |
0.70558699091533 |
Real period |
R |
2.5485377348977 |
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 |
58800jd1 44100cm1 2940l1 14700bm1 |
Quadratic twists by: -4 -3 5 -7 |