Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900bb |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-9384480000 = -1 · 28 · 32 · 54 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,8388] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-42:1] |
Generators of the group modulo torsion |
j |
-245650000/58653 |
j-invariant |
L |
7.9937184450135 |
L(r)(E,1)/r! |
Ω |
1.2356636055139 |
Real period |
R |
0.35939835662858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700cd1 39900a1 |
Quadratic twists by: -3 5 |