Atkin-Lehner |
2- 3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402bt |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
650 |
Product of Tamagawa factors cp |
deg |
39312000 |
Modular degree for the optimal curve |
Δ |
-2.0404918494374E+28 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340052422,-6434997526407] |
[a1,a2,a3,a4,a6] |
Generators |
[174321:73056903:1] |
Generators of the group modulo torsion |
j |
5965320777755289448477147559/27990286000513453786136576 |
j-invariant |
L |
9.2808885494336 |
L(r)(E,1)/r! |
Ω |
0.019364371980292 |
Real period |
R |
0.73734847123822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378h1 |
Quadratic twists by: -3 |