Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ff |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13171200 |
Modular degree for the optimal curve |
Δ |
-8.3221942843517E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49371070,37880633697] |
[a1,a2,a3,a4,a6] |
Generators |
[8819:1072215:1] |
Generators of the group modulo torsion |
j |
9347248137604569499/5844943036471968 |
j-invariant |
L |
10.532152017156 |
L(r)(E,1)/r! |
Ω |
0.045610277700144 |
Real period |
R |
3.848603336744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450o1 64350cm1 |
Quadratic twists by: -3 5 |