Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800d |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-5.258365394787E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -5 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8468700,9549728500] |
[a1,a2,a3,a4,a6] |
Generators |
[1766:10086:1] [-940:129150:1] |
Generators of the group modulo torsion |
j |
-621942452665039872/4868856847025 |
j-invariant |
L |
9.6064749960382 |
L(r)(E,1)/r! |
Ω |
0.16561532319676 |
Real period |
R |
0.51789953080946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800bn1 14760l1 |
Quadratic twists by: -3 5 |