Atkin-Lehner |
2+ 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290l |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4214784 |
Modular degree for the optimal curve |
Δ |
-412375124077280000 = -1 · 28 · 54 · 79 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-415480,-107506624] |
[a1,a2,a3,a4,a6] |
Generators |
[3535492896:156203079544:1601613] |
Generators of the group modulo torsion |
j |
-196558717050207/10219040000 |
j-invariant |
L |
9.80559862645 |
L(r)(E,1)/r! |
Ω |
0.093738877152663 |
Real period |
R |
13.075682849391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108290s1 |
Quadratic twists by: -7 |