Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470d |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-254121840 = -1 · 24 · 33 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,73,-699] |
[a1,a2,a3,a4,a6] |
Generators |
[10:29:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
1.8988268001151 |
L(r)(E,1)/r! |
Ω |
0.87566212778175 |
Real period |
R |
2.168446869942 |
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 |
11760cp1 47040cg1 4410bb1 7350cj1 |
Quadratic twists by: -4 8 -3 5 |