Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cl |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
564242178500 = 22 · 53 · 72 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3532,73131] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:2437:8] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
11.074327111435 |
L(r)(E,1)/r! |
Ω |
0.89081887524972 |
Real period |
R |
2.0719376625852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
910d1 |
Quadratic twists by: -11 |