Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570c |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-83966400 = -1 · 26 · 32 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,82,372] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] |
Generators of the group modulo torsion |
j |
59822347031/83966400 |
j-invariant |
L |
2.1617019856362 |
L(r)(E,1)/r! |
Ω |
1.2981263652016 |
Real period |
R |
0.27754128868399 |
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 |
28560dh1 114240ex1 10710bm1 17850bp1 |
Quadratic twists by: -4 8 -3 5 |