Atkin-Lehner |
3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38295a |
Isogeny class |
Conductor |
38295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8257359375 = -1 · 33 · 56 · 232 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,412,-3058] |
[a1,a2,a3,a4,a6] |
j |
287104138173/305828125 |
j-invariant |
L |
1.4179622749581 |
L(r)(E,1)/r! |
Ω |
0.70898113747526 |
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 |
38295c2 |
Quadratic twists by: -3 |