Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675h |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2779457625 = 33 · 53 · 77 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -6 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-883,-10144] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:12:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
1.7508919585898 |
L(r)(E,1)/r! |
Ω |
0.87777006005101 |
Real period |
R |
1.9947045795661 |
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 |
58800kf1 11025bk1 3675p1 525d1 |
Quadratic twists by: -4 -3 5 -7 |