Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290g |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-72801201200 = -1 · 24 · 52 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29278,1916132] |
[a1,a2,a3,a4,a6] |
Generators |
[104:46:1] |
Generators of the group modulo torsion |
j |
-23592983745241/618800 |
j-invariant |
L |
4.0245930678111 |
L(r)(E,1)/r! |
Ω |
1.013999435844 |
Real period |
R |
0.24806430576085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470e1 |
Quadratic twists by: -7 |