Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080q |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26515865600000000 = 225 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88387052,319838755504] |
[a1,a2,a3,a4,a6] |
Generators |
[7225064:62220:1331] |
Generators of the group modulo torsion |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
6.0945683603099 |
L(r)(E,1)/r! |
Ω |
0.22481991465074 |
Real period |
R |
6.7771669268907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38080br4 1190d4 |
Quadratic twists by: -4 8 |