Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400a |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2022400000000 = -1 · 216 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,-66000] |
[a1,a2,a3,a4,a6] |
Generators |
[2280:21700:27] |
Generators of the group modulo torsion |
j |
237276/1975 |
j-invariant |
L |
7.5937948484468 |
L(r)(E,1)/r! |
Ω |
0.41056576161294 |
Real period |
R |
4.6239820748967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999465203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400bu1 15800a1 25280a1 |
Quadratic twists by: -4 8 5 |