Atkin-Lehner |
2+ 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130ba |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
62200320 |
Modular degree for the optimal curve |
Δ |
-1.2423060740108E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-289263834,-2541865377740] |
[a1,a2,a3,a4,a6] |
j |
-3671796463606672191070738849/1704123558313788009553920 |
j-invariant |
L |
1.61140794243 |
L(r)(E,1)/r! |
Ω |
0.017904514861831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710r1 |
Quadratic twists by: -3 |