Atkin-Lehner |
5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135i |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20224 |
Modular degree for the optimal curve |
Δ |
9417065 = 5 · 73 · 172 · 19 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53,8] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:32519:8] |
Generators of the group modulo torsion |
j |
49430863/27455 |
j-invariant |
L |
9.1232834177409 |
L(r)(E,1)/r! |
Ω |
1.996420504981 |
Real period |
R |
4.5698205316497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79135bc1 |
Quadratic twists by: -7 |