Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815j |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-415036847995 = -1 · 5 · 79 · 112 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11- 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-261,30951] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-172:1] |
Generators of the group modulo torsion |
j |
-16777216/3527755 |
j-invariant |
L |
3.1217116691285 |
L(r)(E,1)/r! |
Ω |
0.77088940603013 |
Real period |
R |
0.50618669239635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545e1 |
Quadratic twists by: -7 |