Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bv |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
7.7812273803E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5978408,-3695727312] |
[a1,a2,a3,a4,a6] |
Generators |
[-49257253367723177063168147862381:601759557068428926581409576004800:25295675904439069963738956533] |
Generators of the group modulo torsion |
j |
28471058/9375 |
j-invariant |
L |
9.8749067694963 |
L(r)(E,1)/r! |
Ω |
0.099093311025887 |
Real period |
R |
49.826303447044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bd1 72600eh1 |
Quadratic twists by: 5 -11 |