Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10952b |
Isogeny class |
Conductor |
10952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
21904 = 24 · 372 |
Discriminant |
Eigenvalues |
2+ -1 -3 3 0 -3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
9472 |
j-invariant |
L |
3.0344320729082 |
L(r)(E,1)/r! |
Ω |
2.5649878349549 |
Real period |
R |
0.59151003204692 |
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 |
21904d1 87616g1 98568v1 10952d1 |
Quadratic twists by: -4 8 -3 37 |