Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cp |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-22902880 = -1 · 25 · 5 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-195,1057] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] |
Generators of the group modulo torsion |
j |
-6779245561/189280 |
j-invariant |
L |
7.4329644862908 |
L(r)(E,1)/r! |
Ω |
2.132775048709 |
Real period |
R |
0.34851141647202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999937943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110bj1 |
Quadratic twists by: -11 |