Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920l |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
378335329182720 = 210 · 37 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19656,-492804] |
[a1,a2,a3,a4,a6] |
j |
820221748268836/369468094905 |
j-invariant |
L |
1.2617812984822 |
L(r)(E,1)/r! |
Ω |
0.42059376616074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840m1 87360dk1 32760v1 54600s1 |
Quadratic twists by: -4 8 -3 5 |