Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048d |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-2.4931311974426E+19 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183995,242144966] |
[a1,a2,a3,a4,a6] |
Generators |
[-1918:132055:8] |
Generators of the group modulo torsion |
j |
-5718124138500/206945952367 |
j-invariant |
L |
6.0917545840255 |
L(r)(E,1)/r! |
Ω |
0.1769041010679 |
Real period |
R |
2.1522093629689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864b1 |
Quadratic twists by: -7 |