Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825b |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12097353515625 = 32 · 510 · 72 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14625,-666000] |
[a1,a2,a3,a4,a6] |
j |
22143063655441/774230625 |
j-invariant |
L |
0.87012908075067 |
L(r)(E,1)/r! |
Ω |
0.43506454037501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83475bf2 5565f2 |
Quadratic twists by: -3 5 |