Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700z |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-30631668750000 = -1 · 24 · 310 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84000,-9374375] |
[a1,a2,a3,a4,a6] |
Generators |
[350:2025:1] |
Generators of the group modulo torsion |
j |
-14386462720/6723 |
j-invariant |
L |
7.286164112818 |
L(r)(E,1)/r! |
Ω |
0.14021276832047 |
Real period |
R |
1.4434737289884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900q1 74700j1 |
Quadratic twists by: -3 5 |