Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650z |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-398493159779000 = -1 · 23 · 53 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11+ 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27591,2006178] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3201:1] |
Generators of the group modulo torsion |
j |
-7880599/1352 |
j-invariant |
L |
4.9960329828576 |
L(r)(E,1)/r! |
Ω |
0.51319065876632 |
Real period |
R |
1.2169046964715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cw1 78650cu1 |
Quadratic twists by: 5 -11 |