Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570l |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-8675100 = -1 · 22 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88,338] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-13:1] |
Generators of the group modulo torsion |
j |
-74140932601/8675100 |
j-invariant |
L |
3.1762788690973 |
L(r)(E,1)/r! |
Ω |
2.2543952931453 |
Real period |
R |
0.23482120155496 |
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 |
28560cx1 114240d1 10710z1 17850bk1 |
Quadratic twists by: -4 8 -3 5 |