Atkin-Lehner |
3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
651a |
Isogeny class |
Conductor |
651 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-78810594471 = -1 · 32 · 710 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 2 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5596,-164045] |
[a1,a2,a3,a4,a6] |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
1.3796037560398 |
L(r)(E,1)/r! |
Ω |
0.27592075120797 |
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 |
10416bh1 41664by1 1953e1 16275p1 |
Quadratic twists by: -4 8 -3 5 |