Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100h |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-558594313593750000 = -1 · 24 · 312 · 510 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,106042,33377037] |
[a1,a2,a3,a4,a6] |
Generators |
[-5379:56017:27] |
Generators of the group modulo torsion |
j |
843982265600/3575003607 |
j-invariant |
L |
5.5766228149445 |
L(r)(E,1)/r! |
Ω |
0.20834746252639 |
Real period |
R |
6.6914935601704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100bc1 |
Quadratic twists by: 5 |