Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280bz |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7561421280000 = -1 · 28 · 39 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716772,233571436] |
[a1,a2,a3,a4,a6] |
Generators |
[497:315:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
6.051481303007 |
L(r)(E,1)/r! |
Ω |
0.58513939943271 |
Real period |
R |
0.43091450436667 |
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 |
17640ck1 11760s1 35280bi1 |
Quadratic twists by: -4 -3 -7 |