Atkin-Lehner |
2+ 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
27528c |
Isogeny class |
Conductor |
27528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-250576152576 = -1 · 211 · 3 · 313 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 -1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3480,81456] |
[a1,a2,a3,a4,a6] |
Generators |
[490:2553:8] |
Generators of the group modulo torsion |
j |
-2276440392242/122351637 |
j-invariant |
L |
7.2135831126133 |
L(r)(E,1)/r! |
Ω |
0.97335776549163 |
Real period |
R |
3.7055147492298 |
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 |
55056f1 82584g1 |
Quadratic twists by: -4 -3 |