Atkin-Lehner |
3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445c |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-1117022551875 = -1 · 313 · 54 · 19 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 4 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3783,-102987] |
[a1,a2,a3,a4,a6] |
j |
-8213064011776/1532266875 |
j-invariant |
L |
2.4106196142692 |
L(r)(E,1)/r! |
Ω |
0.30132745195759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16815f1 |
Quadratic twists by: -3 |