Atkin-Lehner |
2+ 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240i |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-261870468750000 = -1 · 24 · 36 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2478,-780023] |
[a1,a2,a3,a4,a6] |
j |
-144271353856/22451171875 |
j-invariant |
L |
0.98241887366305 |
L(r)(E,1)/r! |
Ω |
0.24560472065714 |
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 |
8360q1 |
Quadratic twists by: -3 |