Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bv |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1201200 |
Modular degree for the optimal curve |
Δ |
-374242261250000000 = -1 · 27 · 510 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36237,-29309983] |
[a1,a2,a3,a4,a6] |
Generators |
[838:23865:1] |
Generators of the group modulo torsion |
j |
304175/21632 |
j-invariant |
L |
9.0101334629176 |
L(r)(E,1)/r! |
Ω |
0.14361928610837 |
Real period |
R |
4.4811597334696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650bk1 650d1 |
Quadratic twists by: 5 -11 |