Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700k |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1241739302343750000 = -1 · 24 · 37 · 511 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100758,55042137] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:4425:1] |
Generators of the group modulo torsion |
j |
-452508382610176/4966957209375 |
j-invariant |
L |
6.3002458233012 |
L(r)(E,1)/r! |
Ω |
0.23214056838995 |
Real period |
R |
4.5232980084826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740u1 |
Quadratic twists by: 5 |