Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640w |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
-8707155430400 = -1 · 210 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3773,110446] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1960:1] |
Generators of the group modulo torsion |
j |
1006236/1475 |
j-invariant |
L |
4.8216562696921 |
L(r)(E,1)/r! |
Ω |
0.49725898268293 |
Real period |
R |
0.80803906671493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640t1 |
Quadratic twists by: -7 |