Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720cs |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-2.1569340556401E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26973320,-53975251212] |
[a1,a2,a3,a4,a6] |
Generators |
[27838:4557312:1] |
Generators of the group modulo torsion |
j |
-529867148566940437900681/526595228427755520 |
j-invariant |
L |
9.409296363133 |
L(r)(E,1)/r! |
Ω |
0.033121506040842 |
Real period |
R |
2.9592103590241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590e1 |
Quadratic twists by: -4 |