Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14700bb |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-140084664300000000 = -1 · 28 · 35 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -7 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-594533,-177560937] |
[a1,a2,a3,a4,a6] |
Generators |
[898:3675:1] |
Generators of the group modulo torsion |
j |
-1007878144/6075 |
j-invariant |
L |
5.4668553819078 |
L(r)(E,1)/r! |
Ω |
0.085934793884702 |
Real period |
R |
2.120544013578 |
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 |
58800ey1 44100be1 2940a1 14700l1 |
Quadratic twists by: -4 -3 5 -7 |