Atkin-Lehner |
2- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950t |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
234412867187500 = 22 · 59 · 172 · 473 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116638,15266031] |
[a1,a2,a3,a4,a6] |
Generators |
[185:157:1] |
Generators of the group modulo torsion |
j |
89849175941069/120019388 |
j-invariant |
L |
7.843811198024 |
L(r)(E,1)/r! |
Ω |
0.55613675961414 |
Real period |
R |
1.763013112878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950l1 |
Quadratic twists by: 5 |