Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200dj |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
68528332800 = 213 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40635,-3152790] |
[a1,a2,a3,a4,a6] |
j |
3681571635/34 |
j-invariant |
L |
1.3450385184263 |
L(r)(E,1)/r! |
Ω |
0.33625962886711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bm1 61200dv1 61200el1 |
Quadratic twists by: -4 -3 5 |