Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
43800z |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-690077256300000000 = -1 · 28 · 35 · 58 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5037833,4350753963] |
[a1,a2,a3,a4,a6] |
Generators |
[1297:438:1] |
Generators of the group modulo torsion |
j |
-141401852452264960/6900772563 |
j-invariant |
L |
7.0839150274765 |
L(r)(E,1)/r! |
Ω |
0.27001257092575 |
Real period |
R |
0.65588752064253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600l1 43800a1 |
Quadratic twists by: -4 5 |