Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240l |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
667312931250000 = 24 · 36 · 58 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43195,-3238582] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-2625:1] |
Generators of the group modulo torsion |
j |
557075705211406336/41707058203125 |
j-invariant |
L |
8.0229669300936 |
L(r)(E,1)/r! |
Ω |
0.3327291756966 |
Real period |
R |
0.25117296075214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480g1 |
Quadratic twists by: -4 |