Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378j |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-126389464334336 = -1 · 221 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-375875,-88730690] |
[a1,a2,a3,a4,a6] |
j |
-5872896869666916641833/126389464334336 |
j-invariant |
L |
0.57844161069365 |
L(r)(E,1)/r! |
Ω |
0.096406935115608 |
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 |
59024n2 66402bs2 51646e2 125426a2 |
Quadratic twists by: -4 -3 -7 17 |