Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cf |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-773601232435200000 = -1 · 214 · 319 · 55 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7008,42316576] |
[a1,a2,a3,a4,a6] |
Generators |
[65:6561:1] |
Generators of the group modulo torsion |
j |
3186827264/64769371875 |
j-invariant |
L |
7.41112931876 |
L(r)(E,1)/r! |
Ω |
0.2240077291913 |
Real period |
R |
1.6542128580819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440fe1 2340f1 12480v1 |
Quadratic twists by: -4 8 -3 |