Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300h |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1685812500000000 = 28 · 36 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704800,1712184500] |
[a1,a2,a3,a4,a6] |
Generators |
[4655365:487825:4913] |
Generators of the group modulo torsion |
j |
750484394082304/578125 |
j-invariant |
L |
6.5312546064096 |
L(r)(E,1)/r! |
Ω |
0.39316804216762 |
Real period |
R |
8.3059327131489 |
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 |
3700b2 6660e2 |
Quadratic twists by: -3 5 |