Atkin-Lehner |
2+ 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960f |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-220409358000 = -1 · 24 · 3 · 53 · 13 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1065,-17850] |
[a1,a2,a3,a4,a6] |
j |
8341510498304/13775584875 |
j-invariant |
L |
3.1469692418342 |
L(r)(E,1)/r! |
Ω |
0.52449487453425 |
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 |
127920j1 |
Quadratic twists by: -4 |