Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925m |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4382205807041015625 = 34 · 510 · 78 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-667650,-184523625] |
[a1,a2,a3,a4,a6] |
j |
17904534011281/2383880625 |
j-invariant |
L |
0.67395023351253 |
L(r)(E,1)/r! |
Ω |
0.1684875482834 |
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 |
22785n2 16275s2 |
Quadratic twists by: 5 -7 |