Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800d |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
20090000000000 = 210 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18408,-930688] |
[a1,a2,a3,a4,a6] |
Generators |
[1546:13125:8] |
Generators of the group modulo torsion |
j |
43116861316/1255625 |
j-invariant |
L |
9.184027909107 |
L(r)(E,1)/r! |
Ω |
0.41060020621011 |
Real period |
R |
2.7959155050937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57400t1 22960c1 |
Quadratic twists by: -4 5 |