Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700l |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1190700000000 = -1 · 28 · 35 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 7 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12133,521137] |
[a1,a2,a3,a4,a6] |
Generators |
[72:125:1] |
Generators of the group modulo torsion |
j |
-1007878144/6075 |
j-invariant |
L |
3.8754574607195 |
L(r)(E,1)/r! |
Ω |
0.87017032205933 |
Real period |
R |
2.2268384490222 |
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 |
58800iy1 44100cg1 2940k1 14700bb1 |
Quadratic twists by: -4 -3 5 -7 |