Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200di |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.2380931894922E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10991325,-15764731000] |
[a1,a2,a3,a4,a6] |
Generators |
[2501145581532808195:1627172072201131031250:5909125507039] |
Generators of the group modulo torsion |
j |
-201440287521417664/30700866796875 |
j-invariant |
L |
7.7440186705099 |
L(r)(E,1)/r! |
Ω |
0.041112255361984 |
Real period |
R |
23.545347374637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200eb1 26400h1 15840d1 |
Quadratic twists by: -4 -3 5 |