Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200bi |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-94109343750000 = -1 · 24 · 311 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49575,4274125] |
[a1,a2,a3,a4,a6] |
j |
-73934023936/516375 |
j-invariant |
L |
2.4181900434029 |
L(r)(E,1)/r! |
Ω |
0.60454751072198 |
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 |
30600n1 20400bf1 12240n1 |
Quadratic twists by: -4 -3 5 |