Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280cb |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-387306079856640 = -1 · 211 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17493,-321734] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1044:1] |
Generators of the group modulo torsion |
j |
68782/45 |
j-invariant |
L |
6.8420263278499 |
L(r)(E,1)/r! |
Ω |
0.30498803369355 |
Real period |
R |
2.8042191709088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640cm1 11760u1 35280bm1 |
Quadratic twists by: -4 -3 -7 |