Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280dv |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-9799601978880000 = -1 · 212 · 313 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44688,5992112] |
[a1,a2,a3,a4,a6] |
Generators |
[361:6075:1] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
4.31091596621 |
L(r)(E,1)/r! |
Ω |
0.37188989202712 |
Real period |
R |
1.4489893576805 |
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 |
2205e1 11760bu1 35280fx1 |
Quadratic twists by: -4 -3 -7 |