Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bt |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-768986915360735232 = -1 · 224 · 314 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24117,-42166150] |
[a1,a2,a3,a4,a6] |
Generators |
[4653438855:-110017267712:7414875] |
Generators of the group modulo torsion |
j |
519524563319/257532162048 |
j-invariant |
L |
7.3574395011216 |
L(r)(E,1)/r! |
Ω |
0.13282243817321 |
Real period |
R |
13.848261638456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662o1 12432bc1 |
Quadratic twists by: -4 -3 |