Atkin-Lehner |
3- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6519b |
Isogeny class |
Conductor |
6519 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-20401842843 = -1 · 311 · 41 · 532 |
Discriminant |
Eigenvalues |
0 3- -2 -2 -5 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1309,19051] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:184:1] [29:79:1] |
Generators of the group modulo torsion |
j |
-248241499144192/20401842843 |
j-invariant |
L |
4.5558699893448 |
L(r)(E,1)/r! |
Ω |
1.1899432280393 |
Real period |
R |
0.17402931050489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304h1 19557f1 |
Quadratic twists by: -4 -3 |