Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070o |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2901770231360 = 26 · 5 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8943,311333] |
[a1,a2,a3,a4,a6] |
j |
672451615081/24664640 |
j-invariant |
L |
3.1904939106196 |
L(r)(E,1)/r! |
Ω |
0.79762347706834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010h1 |
Quadratic twists by: -7 |