Atkin-Lehner |
5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5795d |
Isogeny class |
Conductor |
5795 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-52299875 = -1 · 53 · 193 · 61 |
Discriminant |
Eigenvalues |
2 1 5- 1 -2 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,60,319] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:91:8] |
Generators of the group modulo torsion |
j |
23491948544/52299875 |
j-invariant |
L |
8.7485154184219 |
L(r)(E,1)/r! |
Ω |
1.3872791362387 |
Real period |
R |
0.70069335242011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92720x1 52155d1 28975d1 110105d1 |
Quadratic twists by: -4 -3 5 -19 |