Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465g |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-9590849296875 = -1 · 313 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4902,-68922] |
[a1,a2,a3,a4,a6] |
Generators |
[14:49:1] |
Generators of the group modulo torsion |
j |
17869652393984/13156171875 |
j-invariant |
L |
2.6158706646572 |
L(r)(E,1)/r! |
Ω |
0.40782588596226 |
Real period |
R |
3.2070924807593 |
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 |
55440dn1 1155k1 17325bf1 24255br1 |
Quadratic twists by: -4 -3 5 -7 |