Atkin-Lehner |
3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78033c |
Isogeny class |
Conductor |
78033 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-57176933360386419 = -1 · 32 · 195 · 376 |
Discriminant |
Eigenvalues |
2 3- -1 3 -3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6010366,-5673535913] |
[a1,a2,a3,a4,a6] |
Generators |
[532586243588:141559613158879:7529536] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
16.953315149179 |
L(r)(E,1)/r! |
Ω |
0.048210791456609 |
Real period |
R |
17.582489974716 |
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 |
57c2 |
Quadratic twists by: 37 |