Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655h |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-21831271875 = -1 · 36 · 55 · 7 · 372 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-633,-9387] |
[a1,a2,a3,a4,a6] |
Generators |
[843870:982133:27000] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
8.1542025544567 |
L(r)(E,1)/r! |
Ω |
0.46046163665893 |
Real period |
R |
8.8543777649131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1295b1 58275w1 81585bh1 |
Quadratic twists by: -3 5 -7 |