Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16520c |
Isogeny class |
Conductor |
16520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
13645520 = 24 · 5 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62,61] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21:1] |
Generators of the group modulo torsion |
j |
1647323136/852845 |
j-invariant |
L |
4.8167869992593 |
L(r)(E,1)/r! |
Ω |
1.9665636795972 |
Real period |
R |
1.2246709957152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33040a1 82600c1 115640n1 |
Quadratic twists by: -4 5 -7 |