Atkin-Lehner |
2+ 7- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674i |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-15501688244224 = -1 · 211 · 78 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2573,194909] |
[a1,a2,a3,a4,a6] |
Generators |
[-2190:102427:216] |
Generators of the group modulo torsion |
j |
-16022066761/131762176 |
j-invariant |
L |
7.4020808041805 |
L(r)(E,1)/r! |
Ω |
0.5986755187437 |
Real period |
R |
6.182047453547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998269131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382d1 |
Quadratic twists by: -7 |