Atkin-Lehner |
3- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835bk |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2083968 |
Modular degree for the optimal curve |
Δ |
-1400294647442257875 = -1 · 36 · 53 · 73 · 119 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13983402,-20126539773] |
[a1,a2,a3,a4,a6] |
Generators |
[187666:28352831:8] |
Generators of the group modulo torsion |
j |
-414796146484523639209984/1920843137780875 |
j-invariant |
L |
5.6693062920296 |
L(r)(E,1)/r! |
Ω |
0.03903608253531 |
Real period |
R |
8.0684699951255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315b1 |
Quadratic twists by: -3 |