Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400n |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-149045750000 = -1 · 24 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -2 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:25:1] [16:161:1] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
6.0283950873311 |
L(r)(E,1)/r! |
Ω |
0.61729519801963 |
Real period |
R |
0.81381850837082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32200g1 2576g1 |
Quadratic twists by: -4 5 |