Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675i |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-516796875 = -1 · 33 · 58 · 72 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,117,1019] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
3.5134811578218 |
L(r)(E,1)/r! |
Ω |
1.1616264346551 |
Real period |
R |
0.50410370795683 |
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 |
58800fb1 11025u1 735c1 3675a1 |
Quadratic twists by: -4 -3 5 -7 |