Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850r |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
Δ |
-7.0500895735891E+27 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,388413687,2763936607031] |
[a1,a2,a3,a4,a6] |
Generators |
[19989525:17195909224:27] |
Generators of the group modulo torsion |
j |
414750828108832082625059639/451205732709703981465600 |
j-invariant |
L |
10.800736570706 |
L(r)(E,1)/r! |
Ω |
0.027848943405374 |
Real period |
R |
1.4690640270988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10370c2 |
Quadratic twists by: 5 |