Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360ci |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1697280 |
Modular degree for the optimal curve |
Δ |
-34681860915200000 = -1 · 235 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- -4 -3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124012,19048016] |
[a1,a2,a3,a4,a6] |
Generators |
[5214:-40960:27] |
Generators of the group modulo torsion |
j |
-804590545599729/132300800000 |
j-invariant |
L |
10.565166516352 |
L(r)(E,1)/r! |
Ω |
0.35410601442613 |
Real period |
R |
1.4918083952669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360ba1 25840t1 |
Quadratic twists by: -4 8 |