Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536i |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
43373455393738752 = 212 · 311 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 4 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93565,-4608181] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:2484:1] |
Generators of the group modulo torsion |
j |
22116106446593536/10589222508237 |
j-invariant |
L |
5.9800076145886 |
L(r)(E,1)/r! |
Ω |
0.28623120814471 |
Real period |
R |
0.31654890661959 |
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 |
37536m1 75072o1 112608bk1 |
Quadratic twists by: -4 8 -3 |