Atkin-Lehner |
3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
51207a |
Isogeny class |
Conductor |
51207 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-193949579440851 = -1 · 3 · 137 · 1013 |
Discriminant |
Eigenvalues |
2 3+ 1 -5 2 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26420,-1774771] |
[a1,a2,a3,a4,a6] |
Generators |
[97704224:5326105989:32768] |
Generators of the group modulo torsion |
j |
-422550360064/40181739 |
j-invariant |
L |
8.7577782240308 |
L(r)(E,1)/r! |
Ω |
0.18622759313331 |
Real period |
R |
11.756821420191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3939a1 |
Quadratic twists by: 13 |