Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070r |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
123760 |
Modular degree for the optimal curve |
Δ |
-96447283200000 = -1 · 217 · 36 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 3 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17439,1008845] |
[a1,a2,a3,a4,a6] |
j |
-804590545599729/132300800000 |
j-invariant |
L |
2.8912635006518 |
L(r)(E,1)/r! |
Ω |
0.57825270012976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3230c1 |
Quadratic twists by: -3 |