Atkin-Lehner |
2+ 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950t |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
57395799956250000 = 24 · 33 · 58 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100776,-4339802] |
[a1,a2,a3,a4,a6] |
j |
7243839850989169/3673331197200 |
j-invariant |
L |
1.6963440946844 |
L(r)(E,1)/r! |
Ω |
0.28272401591141 |
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 |
12390n1 |
Quadratic twists by: 5 |