Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600m |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-82450483200 = -1 · 211 · 36 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -5 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248835,-47776610] |
[a1,a2,a3,a4,a6] |
Generators |
[71853356263273086:1004590587590206622:106962180662709] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
5.6597213935114 |
L(r)(E,1)/r! |
Ω |
0.10687883006311 |
Real period |
R |
26.477279879324 |
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 |
9400h1 84600bw1 |
Quadratic twists by: -3 5 |