Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680ch |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.0747529746209E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1988975,-956890248] |
[a1,a2,a3,a4,a6] |
Generators |
[2569:104315:1] |
Generators of the group modulo torsion |
j |
462278484549842944/57095309704125 |
j-invariant |
L |
5.1528887615958 |
L(r)(E,1)/r! |
Ω |
0.12815826202945 |
Real period |
R |
6.7012050571369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cv1 9240bg1 |
Quadratic twists by: -4 -7 |