Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440dl |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-13101004800000 = -1 · 214 · 39 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,-171936] |
[a1,a2,a3,a4,a6] |
j |
1769472/40625 |
j-invariant |
L |
3.4360437835662 |
L(r)(E,1)/r! |
Ω |
0.34360437835701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440t1 9360w1 37440db1 |
Quadratic twists by: -4 8 -3 |