Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760c |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-66357760 = -1 · 29 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,392] |
[a1,a2,a3,a4,a6] |
Generators |
[579:2672:27] |
Generators of the group modulo torsion |
j |
-8/129605 |
j-invariant |
L |
8.5021775726897 |
L(r)(E,1)/r! |
Ω |
1.5559727897283 |
Real period |
R |
5.4642199586114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760l2 51520i2 128800bc2 |
Quadratic twists by: -4 8 5 |