Atkin-Lehner |
3- 7+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351d |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
56332017 = 36 · 72 · 19 · 83 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317,-2060] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:10:1] [-74:61:8] |
Generators of the group modulo torsion |
j |
4818245769/77273 |
j-invariant |
L |
5.6900744503525 |
L(r)(E,1)/r! |
Ω |
1.1328281557345 |
Real period |
R |
5.0228928567201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11039a1 |
Quadratic twists by: -3 |