Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710d |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
69998032872378000 = 24 · 38 · 53 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-135113,-14317707] |
[a1,a2,a3,a4,a6] |
j |
11301253512121/2899962000 |
j-invariant |
L |
2.0298632336896 |
L(r)(E,1)/r! |
Ω |
0.25373292385411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630n1 |
Quadratic twists by: 17 |