Atkin-Lehner |
3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925n |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
65618366572265625 = 34 · 510 · 17 · 474 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-466651,122038073] |
[a1,a2,a3,a4,a6] |
j |
719248476695138209/4199575460625 |
j-invariant |
L |
1.4013596328965 |
L(r)(E,1)/r! |
Ω |
0.35033990887672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11985c1 |
Quadratic twists by: 5 |